Philip Hartman

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Person:766477

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zbMath Open hartman.philipWikidataQ2086221 ScholiaQ2086221MaRDI QIDQ766477

List of research outcomes

PublicationDate of PublicationType
https://portal.mardi4nfdi.de/entity/Q61647712023-07-04Paper
Ordinary Differential Equations2002-03-25Paper
Remarks on Geodesics1983-01-01Paper
On the monotonicity of nonnegative solutions and the uniqueness of eigenvalues1983-01-01Paper
Asymptotic Integration of Ordinary Differential Equations1983-01-01Paper
https://portal.mardi4nfdi.de/entity/Q39332741982-01-01Paper
https://portal.mardi4nfdi.de/entity/Q33429291981-01-01Paper
On the maximum principles of A. D. Alexandrov in the uniqueness theory for hypersurfaces1980-01-01Paper
On the Sacksteder decomposition of complete W-hypersurfaces of nonnegative sectional curvature1979-01-01Paper
Oscillation criteria for self-adjoint second-order differential systems and Principal sectional curvatures1979-01-01Paper
Uniqueness of principal values, complete monotonicity of logarithmic derivatives of principal solutions, and oscillation theorems1979-01-01Paper
Some Singular Nonoscillatory Boundary Value Problems1979-01-01Paper
https://portal.mardi4nfdi.de/entity/Q38910161978-01-01Paper
Monotony Properties and Inequalities for Green’s Functions for Multipoint Boundary Value Problems1978-01-01Paper
Difference Equations: Disconjugacy, Principal Solutions, Green's Functions, Complete Monotonicity1978-01-01Paper
On Complete Hypersurfaces of Nonnegative Sectional Curvatures and Constant mth Mean Curvatures1978-01-01Paper
On boundary value problems for superlinear second order differential equations1977-01-01Paper
Solutions of disconjugate third-order differential equations1977-01-01Paper
On the Products of Solutions of Second Order Disconjugate Differential Equations and the Whittaker Differential Equation1977-01-01Paper
On Nonoscillatory Linear Differential Equations of Second Order1977-01-01Paper
Some characterizations of the euclidean sphere1976-01-01Paper
https://portal.mardi4nfdi.de/entity/Q41669991976-01-01Paper
Positive and monotone solutions of linear ordinary differential equations1975-01-01Paper
Integration of Ordinary Linear Differential Equations by Laplace-Stieltjes Transforms1975-01-01Paper
https://portal.mardi4nfdi.de/entity/Q40937681975-01-01Paper
Infinite Convolutions on Locally Compact Abelian Groups and Additive Functions1975-01-01Paper
On solutions of disconjugate differential equations1974-01-01Paper
'Normal' distribution functions on spheres and the modified Bessel functions1974-01-01Paper
Logarithmic derivatives of solutions of disconjugate differential equations1974-01-01Paper
On Two-Point Boundary Value Problems for Nonlinear Second Order Systems1974-01-01Paper
On Differential Equations, Volterra Equations and the Function J 2 μ + Y 2 μ1973-01-01Paper
https://portal.mardi4nfdi.de/entity/Q47675871973-01-01Paper
Convex functions and mean value inequalities1972-01-01Paper
Boundary value problems for second order, ordinary differential equations involving a parameter1972-01-01Paper
https://portal.mardi4nfdi.de/entity/Q40737141972-01-01Paper
On Invariant Sets and on a Theorem of Wazewski1972-01-01Paper
On the Existence of Similar Solutions of Some Boundary Layer Problems1972-01-01Paper
https://portal.mardi4nfdi.de/entity/Q56737491972-01-01Paper
On third order, non-linear, singular, boundary value problems1971-01-01Paper
The swirling flow problem in boundary layer theory1971-01-01Paper
The stable manifold of a point of a hyperbolic map of a Banach space1971-01-01Paper
https://portal.mardi4nfdi.de/entity/Q44022681971-01-01Paper
On N-Parameter Families and Interpolation Problems for Nonlinear Ordinary Differential Equations1971-01-01Paper
Corrigendum and Addendum: Principal Solutions of Disconjugate n-th Order Linear Differential Equations1971-01-01Paper
https://portal.mardi4nfdi.de/entity/Q56791681971-01-01Paper
Frobenius theorem under Caratheodory type conditions1970-01-01Paper
On the smoothness of isometries1970-01-01Paper
On Disconjugacy Criteria1970-01-01Paper
On the Isometric Immersions in Euclidean Space of Manifolds with Nonnegative Sectional Curvatures. II1970-01-01Paper
https://portal.mardi4nfdi.de/entity/Q56163411970-01-01Paper
Principal Solutions of Disconjugate n-th Order Linear Differential Equations1969-01-01Paper
On an Ordinary Differential Equation Involving a Convex Function1969-01-01Paper
Convex sets and the bounded slope condition1968-01-01Paper
On limits of Riemann sums and the range of integrals1968-01-01Paper
On a Class of Perturbations of the Harmonic Oscillator1968-01-01Paper
Disconjugate $n$th order differential equations and principal solutions1968-01-01Paper
On Disconjugate Differential Equations1968-01-01Paper
Interpolating families and generalized convex functions1967-01-01Paper
On Homotopic Harmonic Maps1967-01-01Paper
https://portal.mardi4nfdi.de/entity/Q55370561967-01-01Paper
https://portal.mardi4nfdi.de/entity/Q55436921967-01-01Paper
On some non-linear elliptic differential functional equations1966-01-01Paper
On the bounded slope condition1966-01-01Paper
The existence and stability of stationary points1966-01-01Paper
Generalized Lyapunov functions and functional equations1965-01-01Paper
On Isometric Immersions in Euclidean Space of Manifolds With Non-Negative Sectional Curvatures1965-01-01Paper
https://portal.mardi4nfdi.de/entity/Q53308301964-01-01Paper
Geodesic Parallel Coordinates in the Large1964-01-01Paper
On the Asymptotic Behaviour of Solutions of a Differential Equation in Boundary Layer Theory1964-01-01Paper
On the asymptotic integration of ordinary differential equations1963-01-01Paper
On Unbounded Toeplitz Matrices1963-01-01Paper
A Differential Equation with Non-Unique Solutions1963-01-01Paper
On the Local Linearization of Differential Equations1963-01-01Paper
https://portal.mardi4nfdi.de/entity/Q57249581963-01-01Paper
On dichotomies for solutions of \(n\)-th order linear differential equations1962-01-01Paper
Aurel Wintner1962-01-01Paper
On Global Asymptotic Stability of Solutions of Differential Equations1962-01-01Paper
On solutions of the Helmholtz equation in exterior domains1961-01-01Paper
The existence of large or small solutions of linear differential equations1961-01-01Paper
On certain monotone functions and products of independent functions1961-01-01Paper
On Differential Equations and the Function $J_\{mu}^2 + Y_\{mu}^2$1961-01-01Paper
On Stability in the Large for Systems of Ordinary Differential Equations1961-01-01Paper
On Boundary Value Problems for Systems of Ordinary, Nonlinear, Second Order Differential Equations1960-01-01Paper
https://portal.mardi4nfdi.de/entity/Q53344951960-01-01Paper
A Lemma in the Theory of Structural Stability of Differential Equations1960-01-01Paper
On generalized ellipses1959-01-01Paper
On solutions of \(\Delta V + V =\) in an exterior region1959-01-01Paper
On functions representable as a difference of convex functions1959-01-01Paper
https://portal.mardi4nfdi.de/entity/Q32584121959-01-01Paper
https://portal.mardi4nfdi.de/entity/Q32584131959-01-01Paper
On Completely Continuous Hankel Matrices1959-01-01Paper
On Smooth Linear Partial Differential Equations Without Solutions1959-01-01Paper
On Spherical Image Maps Whose Jacobians Do Not Change Sign1959-01-01Paper
On Exterior Derivatives and Solutions of Ordinary Differential Equations1959-01-01Paper
Hölder continuity and non-linear elliptic partial differential equations1958-01-01Paper
Unrestricted \(n\)-parameter families1958-01-01Paper
On isometries and on a theorem of Liouville1958-01-01Paper
On Integrating Factors and On Conformal Mappings1958-01-01Paper
https://portal.mardi4nfdi.de/entity/Q55928541958-01-01Paper
Self-adjoint, non-oscillatory systems of ordinary, second order, linear differential equations1957-01-01Paper
On maximum principles for non-hyperbolic partial differential operators1957-01-01Paper
Perturbation of spectra and Krein extensions1957-01-01Paper
Remarks on a uniqueness theorem for closed surfaces1957-01-01Paper
On Laurent Operators on l p1957-01-01Paper
On Jacobi Brackets1957-01-01Paper
The essential spectrum and averages of the potential1956-01-01Paper
The essential spectra belonging to bounded and half-bounded potentials1956-01-01Paper
On Linear and Nonlinear Perturbations of Linear Systems of Ordinary Differential Equations With Constant Coefficients1956-01-01Paper
On the local behavior of solutions of Δ = g(x, u, ∇ u)1956-01-01Paper
On Disconjugate Differential Systems1956-01-01Paper
Asymptotic Integrations of Linear Differential Equations1955-01-01Paper
Mean Value Theorems and Linear Operators1955-01-01Paper
On the Assignment of Asymptotic Values for the Solutions of Linear Differential Equations of Second Order1955-01-01Paper
On Linear, Second Order Differential Equations in the Unit Circle1955-01-01Paper
An inequality for the first eigenvalue of an ordinary boundary value problem1955-01-01Paper
On a Problem of Poincare Concerning Riccati's Equation1955-01-01Paper
On an oscillation criterion of de la Valleé Poussin1955-01-01Paper
Asymptotic Integrations of Ordinary Non-Linear Differential Equations1955-01-01Paper
Partial differential equations and a theorem of A. Kneser1955-01-01Paper
Binary, linear, elliptic, partial differential equations1955-01-01Paper
On the Local Behavior of Solutions of Non-Parabolic Partial Differential Equations: III. Approximations by Spherical Harmonics1955-01-01Paper
On a Comparison Theorem for Self-Adjoint Partial Differential Equations of Elliptic Type1955-01-01Paper
On Uniform Dini Conditions in the Theory of Linear Partial Differential Equations of Elliptic Type1955-01-01Paper
Linear Differential Equations with Completely Monotone Solutions1954-01-01Paper
On Non-Oscillatory Linear Differential Equations with Monotone Coefficients1954-01-01Paper
On Parabolic Curves on Surfaces1954-01-01Paper
On Continuous Area-Preserving and Legendre Transformations1954-01-01Paper
On Curves Defined by Binary Non-Conservative Differential Systems1954-01-01Paper
On the Local Behavior of Solutions of Non-Parabolic Partial Differential Equations: II. The Uniqueness of the Green Singularity1954-01-01Paper
Umbilical Points and W-Surfaces1954-01-01Paper
On the Essential Spectra of Ordinary Differential Operators1954-01-01Paper
On Monotone Solutions of Systems of Non-Linear Differential Equations1954-01-01Paper
The Spectra of Toeplitz's Matrices1954-01-01Paper
On the solutions of certain overdetermined systems of partial differential equations1954-01-01Paper
On isothermic coordinates1954-01-01Paper
On conformal maps defined by Lagrange's series and by solutions of \(dw/dz=f(w)\)1954-01-01Paper
Regular binary Pfaffians and non-parabolic partial differential equations1954-01-01Paper
On Sine Series with Monotone Coefficients1953-01-01Paper
On the Derivatives of Solutions of Linear, Second Order, Ordinary Differential Equations1953-01-01Paper
On the Essential Spectra of Symmetric Operators in Hilbert Space1953-01-01Paper
Envelopes and Discriminant Curves1953-01-01Paper
On the Curvatures of a Surface1953-01-01Paper
On the Inverse of the Parabolic Differential Operator ∂ 2 /∂x 2 - ∂/∂t1953-01-01Paper
On Asymptotic Parametrizations1953-01-01Paper
On the Third Fundamental Form of a Surface1953-01-01Paper
On Non-Oscillatory Linear Differential Equations1953-01-01Paper
On the Behavior of the Solutions of Real Binary Differential Systems at Singular Points1953-01-01Paper
Linear Differential and Difference Equations with Monotone Solutions1953-01-01Paper
On Elliptic Monge-Ampere Equations1953-01-01Paper
On Pieces of Convex Surfaces1953-01-01Paper
On the Existence of Riemannian Manifolds which cannot Carry Non-Constant Analytic or Harmonic Functions in the Small1953-01-01Paper
On the Singularities in Nets of Curves Defined by Differential Equations1953-01-01Paper
On the Local Behavior of Solutions of Non-Parabolic Partial Differential Equations1953-01-01Paper
On Unsmooth Two-Dimensional Riemannian Metrics1952-01-01Paper
On Geodesic Torsions and Parabolic and Asymptotic Curves1952-01-01Paper
On the Theory of Geodesic Fields1952-01-01Paper
On Non-Oscillatory Linear Differential Equations of Second Order1952-01-01Paper
On Perturbations of the Continuous Spectrum of the Harmonic Oscillator1952-01-01Paper
Some Examples in the Theory of Singular Boundary Value Problems1952-01-01Paper
An inequality for the amplitudes and areas in vibration diagrams of time-dependent frequency1952-01-01Paper
On Hyperbolic Partial Differential Equations1952-01-01Paper
On the Zeros of Solutions of Second Order Linear Differential Equations1952-01-01Paper
On the Problems of Geodesics in the Small1951-01-01Paper
On the Asymptotic Curves of a Surface1951-01-01Paper
On the Maxima of the Patterson Functions1951-01-01Paper
On the Classical Transcendents of Mathematical Physics1951-01-01Paper
[https://portal.mardi4nfdi.de/wiki/Publication:5804402 On the Non-Increasing Solutions of y � � = f(x,y,y � )]1951-01-01Paper
On the Behavior of Fourier Sine Transforms Near the Origin1951-01-01Paper
On an Oscillation Criterion of Liapounoff1951-01-01Paper
On Geodesic Coordinates1951-01-01Paper
Gaussian Curvature and Local Embedding1951-01-01Paper
[https://portal.mardi4nfdi.de/wiki/Publication:5807831 The Number of L 2 -Solutions of x � � + q(t)x = 0]1951-01-01Paper
On the Eigenvalues of Differential Equations1951-01-01Paper
On Bounded Green's Kernels for Second Order Linear Ordinary Differential Equations1951-01-01Paper
On Linear Second Order Differential Equations with Small Coefficients1951-01-01Paper
On the Solutions of the Equation of Heat Conduction1950-01-01Paper
Lame Coordinates in Hilbert Space1950-01-01Paper
On the Embedding Problem in Differential Geometry1950-01-01Paper
On the Fundamental Equations of Differential Geometry1950-01-01Paper
On the Local Uniqueness of Geodesics1950-01-01Paper
On the Essential Spectra of Singular Eigenvalue Problems1950-01-01Paper
On Linear Difference Equations of Second Order1950-01-01Paper
On the Spectra of Toeplitz's Matrices1950-01-01Paper
On Non-Linear Differential Equations of First Order1950-01-01Paper
On Euler Transforms1950-01-01Paper
On the Derivatives of the Solutions of One-Dimensional Wave Equations1950-01-01Paper
The Gaps in the Essential Spectra of Wave Equations1950-01-01Paper
Oscillatory and Non-Oscillatory Linear Differential Equations1949-01-01Paper
On the Laplace-Fourier Transcendents1949-01-01Paper
On the Spectra of Slightly Disturbed Linear Oscillators1949-01-01Paper
A Separation Theorem for Continuous Spectra1949-01-01Paper
On the Classical Existence Theorem of Linear Differential Equations1949-01-01Paper
On the Location of Spectra of Wave Equations1949-01-01Paper
A Criterion for the Non-Degeneracy of the Wave Equation1949-01-01Paper
A Characterization of the Spectra of One-Dimensional Wave Equations1949-01-01Paper
Separation Theorems for Bounded Hermitian Forms1949-01-01Paper
https://portal.mardi4nfdi.de/entity/Q57934831949-01-01Paper
Newtonian approximations to a zero of a function1948-01-01Paper
The zeros of the derivatives of the real elliptic \(\vartheta_3\)-function1948-01-01Paper
Differential equations with non oscillatory eigenfunctions1948-01-01Paper
Toplerian (L 2 )-Bases1948-01-01Paper
Unrestricted Solution Fields of Almost Separable Differential Equations1948-01-01Paper
On the Orientation of Unilateral Spectra1948-01-01Paper
Criteria of Non-Degeneracy for the Wave Equation1948-01-01Paper
The Asymptotic Arcus Variation of Solutions of Real Linear Differential Equations of Second Order1948-01-01Paper
On a Theorem of Milloux1948-01-01Paper
On the Linear Logarithmico-Exponential Differential Equation of the Second Order1948-01-01Paper
The Least Cluster Point of the Spectrum of Boundary Value Problems1948-01-01Paper
On Non-Conservative Linear Oscillators of Low Frequency1948-01-01Paper
On the Asymptotic Problems of the Zeros in Wave Mechanics1948-01-01Paper
On the Effect of Decimal Corrections on Errors of Observation1948-01-01Paper
The \(L^2\) solutions of linear differential equations of second order1947-01-01Paper
Multiplicative sequences and Töplerian \((L^2)\)-bases1947-01-01Paper
ON THE LIMITS OF RIEMANN APPROXIMATING SUMS1947-01-01Paper
The ( L 2 )-Space of Relative Measure1947-01-01Paper
An Oscillation Theorem for Continuous Spectra1947-01-01Paper
On the Ergodic Theorems1947-01-01Paper
Systems of Total Differential Equations and Liouville's Theorem on Conformal Mappings1947-01-01Paper
Tauber's Theorem and Absolute Constants1947-01-01Paper
On Mobius' Inversion1947-01-01Paper
On the Solutions of an Ordinary Differential Equation Near a Singular Point1946-01-01Paper
On the Asymptotic Behavior of the Solutions of a Non-Linear Differential Equation1946-01-01Paper
Remark on Taylor’s formula1945-01-01Paper
Integrability in the Large and Dynamical Stability1943-01-01Paper
On the Infinitesimal Generators of Integral Convolutions1942-01-01Paper
The divergence of non-harmonic gap series1942-01-01Paper
Additive functions and almost periodicity1942-01-01Paper
https://portal.mardi4nfdi.de/entity/Q58434921941-01-01Paper
On the convexity of averages of analytic almost periodic functions.1941-01-01Paper
On the law of the iterated logarithm.1941-01-01Paper
Normal distributions and the law of the iterated logarithm.1941-01-01Paper
On the Law of the Iterated Logarithm1941-01-01Paper
On the Convexity of Averages of Analytic Almost Periodic Functions1941-01-01Paper
Normal Distributions and the Law of the Iterated Logarithm1941-01-01Paper
On upper limit relations for number theoretical functions.1940-01-01Paper
On the standard deviations of additive arithmetical functions.1940-01-01Paper
On the almost periodicity of additive number-theoretical functions.1940-01-01Paper
An asymptotic formula for exponential integrals.1940-01-01Paper
On the spherical approach to the normal distribution law.1940-01-01Paper
Statistical independence and statistical equilibrium.1940-01-01Paper
An Asymptotic Formula for Exponential Integrals1940-01-01Paper
On the Almost Periodicity of Additive Number-Theoretical Functions1940-01-01Paper
Statistical Independence and Statistical Equilibrium1940-01-01Paper
On Upper Limit Relations for Number Theoretical Functions1940-01-01Paper
On the Standard Deviations of Additive Arithmetical Functions1940-01-01Paper
On the Spherical Approach to the Normal Distribution Law1940-01-01Paper
Mean motions and almost periodic functions.1939-01-01Paper
Asymptotic distributions and statistical independence.1939-01-01Paper
On Dirichlet series involving random coefficients.1939-01-01Paper
Asymptotic distributions and the ergodic theorem.1939-01-01Paper
Asymptotic Distributions and Statistical Independence1939-01-01Paper
Mean Motions and Almost Periodic Functions1939-01-01Paper
Asymptotic Distributions and the Ergodic Theorem1939-01-01Paper
On Dirichlet Series Involving Random Coefficients1939-01-01Paper
On certain Fourier series involving sums of divisors.1938-01-01Paper
Integral forms and variational orthogonality.1938-01-01Paper
On a class of arithmetical Fourier series.1938-01-01Paper
On the distribution functions of almost periodic functions.1938-01-01Paper
On the Fourier-Stieltjes transform of a singular function.1938-01-01Paper
On a Class of Arithmetical Fourier Series1938-01-01Paper
On the Distribution Functions of Almost Periodic Functions1938-01-01Paper
On the Fourier-Stieltjes Transform of a Singular Function1938-01-01Paper
Integral Forms and Variational Orthogonality1938-01-01Paper
https://portal.mardi4nfdi.de/entity/Q57695821938-01-01Paper
The structure of monotone functions.1937-01-01Paper
A remark on a theorem of Arzelà.1937-01-01Paper
On the secular constants of almost periodic functions.1937-01-01Paper
Mean motions and distribution functions.1937-01-01Paper
A Remark on a Theorem of Arzela1937-01-01Paper
Mean Motions and Distribution Functions1937-01-01Paper
The Structure of Monotone Functions1937-01-01Paper
https://portal.mardi4nfdi.de/entity/Q57694341937-01-01Paper

Research outcomes over time


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