scientific article; zbMATH DE number 204189
From MaRDI portal
Publication:4695310
zbMath0782.34001MaRDI QIDQ4695310
Publication date: 16 June 1993
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Sturm-Liouville theory (34B24) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Linear ordinary differential equations and systems (34A30) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to ordinary differential equations (34-01) Asymptotic properties of solutions to ordinary differential equations (34D05) Ordinary differential equations in the complex domain (34M99) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)
Related Items (only showing first 100 items - show all)
On the stability of a star-shaped network of variable coefficients strings under joint damping ⋮ Three-parameter solutions of the PV Schlesinger-type equation near the point at infinity and the monodromy data ⋮ Correctness conditions for high-order differential equations with unbounded coefficients ⋮ Spectral properties of the complex Airy operator on the half-line ⋮ Boundary stabilization for a star-shaped network of variable coefficients strings linked by a point mass ⋮ In the insurance business risky investments are dangerous: the case of negative risk sums ⋮ Asymptotic and numerical analysis of slowly varying two-dimensional quantum waveguides ⋮ Surface Shear Waves in a Functionally Graded Half-Space ⋮ Asymptotic representation for the eigenvalues of a non-selfadjoint operator governing the dynamics of an energy harvesting model ⋮ Stability of the autoresonance in a dissipative system ⋮ Dynamical insurance models with investment: constrained singular problems for integrodifferential equations ⋮ Bethe ansatz and the spectral theory of affine Lie algebra-valued connections. I: The simply-laced case ⋮ An algorithm for the rapid numerical evaluation of Bessel functions of real orders and arguments ⋮ Numerical simulation of the whispering gallery modes in prolate spheroids ⋮ Sharp asymptotics for the quasi-stationary distribution of birth-and-death processes ⋮ An algorithm for the numerical evaluation of the associated Legendre functions that runs in time independent of degree and order ⋮ \(L^p\) eigenfunction bounds for the Hermite operator ⋮ Singular perturbations and torsional wrinkling in a truncated hemispherical thin elastic shell ⋮ Approximate formulae for certain prolate spheroidal wave functions valid for large values of both order and band-limit ⋮ Comparison theorems for the small ball probabilities of the Green Gaussian processes in weighted $L_2$-norms ⋮ Integrals of Bessel processes and multi-dimensional Ornstein-Uhlenbeck processes: exact asymptotics for $ L^p$-functionals ⋮ ELLIPTIC ASYMPTOTIC REPRESENTATION OF THE FIFTH PAINLEVÉ TRANSCENDENTS ⋮ Quantum system level-band in a strong quasiresonant field with a deep modulation ⋮ Optimal constrained investment in the Cramer-Lundberg model ⋮ On the singular spectrum for adiabatic quasiperiodic Schrödinger operators ⋮ Splitting problem for WKB asymptotics in a nonresonant case and the reduction method for linear systems ⋮ A linear system of differential equations with small parameter at a part of derivatives, a deviation of the argument, and a turning point ⋮ The lack of exponential stability for a weakly coupled wave equations through a variable density term ⋮ Exponential stability of two strings under joint damping with variable coefficients ⋮ Uniform asymptotic solution in the form of an Airy function for semiclassical bound states in one-dimensional and radially symmetric problems ⋮ On the Numerical Calculation of the Roots of Special Functions Satisfying Second Order Ordinary Differential Equations ⋮ 2-parameter \(\tau\)-function for the first Painlevé equation: topological recursion and direct monodromy problem via exact WKB analysis ⋮ Brownian motion on $ \lbrack 0,\infty)$ with linear drift, reflected at zero: exact asymptotics for ergodic means ⋮ Asymptotics with respect to the spectral parameter and Neumann series of Bessel functions for solutions of the one-dimensional Schrödinger equation ⋮ Asymptotic approximations for solutions of Sturm-Liouville differential equations with a large complex parameter and nonsmooth coefficients ⋮ A quasiclassical limit of the spectrum of a Schrödinger operator with complex periodic potential ⋮ Poles of Painlevé IV rationals and their distribution ⋮ Anharmonic oscillators in the complex plane, \(\mathcal{PT}\)-symmetry, and real eigenvalues ⋮ The Marchenko--Ostrovski mapping and the trace formula for the Camassa--Holm equation. ⋮ Stability of Poiseuille-type flows in an MHD model of an incompressible polymeric fluid ⋮ Limit circle/limit point criteria for second-order superlinear differential equations with a damping term ⋮ The asymptotics of solutions of a singularly perturbed equation with a of fractional turning point ⋮ Adiabatic dynamics of one-dimensional classical Hamiltonian dissipative systems ⋮ Blow-up for compressible Euler system with space-dependent damping in 1-D ⋮ Stabilization of damped waves on spheres and Zoll surfaces of revolution ⋮ Asymptotic results for renewal risk models with risky investments ⋮ \(L^p\)-solutions of a nonlinear third order differential equation and the Poincaré-Perron problem ⋮ Spectrum of localized states in graphene quantum dots and wires ⋮ Spectral asymptotics for fourth order differential operator with two turning points ⋮ Limit circle/limit point criteria for second-order sublinear differential equations with damping term ⋮ Infinite ascension limit: horocyclic chaos ⋮ High energy eigenfunctions of one-dimensional Schrödinger operators with polynomial potentials ⋮ Stability of Poiseuille-type flows for an MHD model of an incompressible polymeric fluid ⋮ Asymptotic solution of a singularly perturbed optimal problem with integral constraint ⋮ The complex time WKB approximation and particle production ⋮ Fock Quantization of Canonical Transformations and Semiclassical Asymptotics for Degenerate Problems ⋮ Bethe ansatz and the spectral theory of affine Lie algebra-valued connections. II: The non simply-laced case ⋮ Oval cylindrical shells under asymmetric bending: a singular-perturbation solution ⋮ A pair of commuting hypergeometric operators on the complex plane and bispectrality ⋮ Blowup of the local energy of linear waves at the Reissner–Nordström–AdS Cauchy horizon ⋮ Certain inequalities involving prolate spheroidal wave functions and associated quantities ⋮ On the evaluation of prolate spheroidal wave functions and associated quadrature rules ⋮ Entire functions, PT-symmetry and Voros's quantization scheme ⋮ On the convergence to zero of solutions of a second-order differential equation with complex-valued potential ⋮ On self-similar solutions of semilinear wave equations in higher space dimensions ⋮ Complex WKB method for adiabatic perturbations of a periodic Schrödinger operator ⋮ The coupling of elastic, surface-wave modes by a slow, interfacial inclusion ⋮ Asymptotics of eigenvalues of non-self-adjoint Schrödinger operators on a half-line ⋮ Homogenized spectral problems for exactly solvable operators: asymptotics of polynomial eigenfunctions ⋮ Pointwise estimates and stability for degenerate viscous shock waves ⋮ On a nonsolvable partial differential operator ⋮ Self-similar blow-up profiles for slightly supercritical nonlinear Schrödinger equations ⋮ On asymptotics of a second order linear ODE with a turning-regular singular point ⋮ Inverse Problem for Sturm – Liouville Operators in the Complex Plane ⋮ Analytic continuation of eigenvalues of a quartic oscillator ⋮ WKB asymptotics and spectral deformation in semi-classical limit ⋮ Surface shear waves in a half-plane with depth-variant structure ⋮ Trace formulas for the modified Mathieu equation ⋮ Asymptotic approximation to a solution of a singularly perturbed linear-quadratic optimal control problem with second-order linear ordinary differential equation of state variable ⋮ On a conjecture by Y.\,Last ⋮ Quadratic differentials and signed measures ⋮ Hyperelliptic action integral ⋮ A quasilinear complexity algorithm for the numerical simulation of scattering from a two-dimensional radially symmetric potential ⋮ Tunnel splitting of the spectrum of the Beltrami-Laplace operators on two-dimensional surfaces with square integrable geodesic flow ⋮ On the exact WKB analysis of second order linear ordinary differential equations with simple poles ⋮ Möbius transform for linear ordinary differential equations ⋮ A boundary value problem for the Sturm-Liouville equation with piecewise entire potential on the curve and solution discontinuity conditions ⋮ Self-weight buckling of thin elastic shells: the case of a spherical equatorial segment ⋮ Higher-order time asymptotics of fast diffusion in Euclidean space: A dynamical systems approach ⋮ Singular Problems for Integro-differential Equations in Dynamic Insurance Models ⋮ Observable sets, potentials and Schrödinger equations ⋮ Linear differential equations and multiple zeta-values. III. Zeta(3) ⋮ Roots of generalised Hermite polynomials when both parameters are large ⋮ Inverse problem for harmonic oscillator perturbed by potential, characterization ⋮ Null boundary controllability of a one-dimensional heat equation with an internal point mass and variable coefficients ⋮ Spectral analysis of Euler–Bernoulli beam model with distributed damping and fully non-conservative boundary feedback matrix ⋮ Particle production in expanding spacetime ⋮ Diophantine approximation as cosmic censor for Kerr-AdS black holes ⋮ Asymptotics of the general solution of linear singularly perturbed systems of higher-order differential equations with degeneration in the case of multiple spectrum of the limiting matrix pencil ⋮ Improved estimates for nonoscillatory phase functions
This page was built for publication:
