Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
scientific article - MaRDI portal

scientific article

From MaRDI portal
Publication:3324254

zbMath0538.34001MaRDI QIDQ3324254

M. V. Fedoryuk

Publication date: 1983


Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.



Related Items

Slowing down and reflection of waves in truncated periodic mediaStability criteria for second order linear ordinary differential equationsOn localization of the spectrum of the problem with complex weightLocalization criterion for the spectrum of the Sturm–Liouville operator on a curveАСИМПТОТИЧЕСКОЕ МОДЕЛИРОВАНИЕ СПЕКТРАЛЬНОЙ ЗАДАЧИGeneralized finite moments and Liouville-Green approximationsIntegrals of Bessel processes and multi-dimensional Ornstein-Uhlenbeck processes: exact asymptotics for $ L^p$-functionalsSemiclassical asymptotics of the spectrum near the lower boundary of spectral clusters for a Hartree-type operatorAsymptotic behavior of solutions to a Cauchy problem with a turning point in the case of change of stabilityOn the reducibility of systems of two linear first-order ordinary differential equationsUnnamed ItemNull boundary controllability of the linear Kuramoto-Sivashinsky equation with variable coefficientsUnnamed ItemExact boundary controllability of the linear biharmonic Schrödinger equation with variable coefficientsSemiclassical asymptotics of oscillating tunneling for a quadratic Hamiltonian on the algebra \(\operatorname{su}(1,1)\)Spectral properties of the nonsectorial Sturm-Liouville operator on the semiaxisBrownian motion on $ \lbrack 0,\infty)$ with linear drift, reflected at zero: exact asymptotics for ergodic meansSpectral deformation in a problem of singular perturbation theoryThe models of gradient mechanics and singularly perturbed boundary value problemsInvestigation of elasticity problem for the radially inhomogeneous transversely isotropic sphereA quasiclassical limit of the spectrum of a Schrödinger operator with complex periodic potentialCoercive solvability of degenerate system of second order difference equationsComplex WKB method for a difference Schrödinger equation with the potential being a trigonometric polynomialPassage through a potential barrier and multiple wellsStability of Poiseuille-type flows in an MHD model of an incompressible polymeric fluidHomogenization and dispersion effects in the problem of propagation of waves generated by a localized sourceUnnamed ItemAsymptotics for the eigenvalues of a fourth order differential operator in a “degenerate” caseStudy of differential operator with summable potential and discontinuous weight functionAsymptotic behavior of the solution of an axisymmetric problem of elasticity theory for a sphere with variable elasticity modulesOn the asymptotic expansion of a solution of a linear second-order differential equation with respect to a parameterUnnamed ItemSingular matrix conjugacy problem with rapidly oscillating off-diagonal entries. Asymptotics of the solution in the case when a diagonal entry vanishes at a stationary pointAsymptotics of the spectrum and quantum averages of a perturbed resonant oscillator near the boundaries of spectral clustersAsymptotic behavior of the spectral measure of the operator family \(-y-\epsilon xy\)Stokes coefficients of the cubic model: a quantum resurgence viewpointLOGARITHMIC PERTURBATION THEORY FOR RADIAL KLEIN–GORDON EQUATION WITH SCREENED COULOMB POTENTIALS VIA ℏ-EXPANSIONSAsymptotic solution to the restricted three-body problem with a mass point moving near a small-mass bodyStability analysis of stratified shear flows with a monotonic velocity profile without inflection points. Part 2. Continuous density variationAsymptotics of regularized solutions of an ill-posed Cauchy problem for an autonomous linear system of differential equations with commensurable delaysSpectral Properties of Differential Operators with Oscillating CoefficientsUnnamed ItemThe Reconstruction of the Attracting Potential in the Sturm‐Liouville Equation through Characteristics of Negative Discrete SpectrumInternal gravity waves excited by a moving oscillating source in a stratified medium with variable buoyancyAsymptotics of transfer matrix of Sturm-Liouville equation with piecewise-entire potential function on a curveSingular boundary value problem for the integrodifferential equation in an insurance model with stochastic premiums: Analysis and numerical solutionStability loss delay in a Ziegler systemUnnamed ItemAveraging and spectral bands for the 2-D magnetic Schrödinger operator with growing and one-direction periodic potentialOn the asymptotics of the spectrum of the hydrogen atom in orthogonal electric and magnetic fields near the upper boundaries of spectral clustersNecessary conditions for the localization of the spectrum of the Sturm-Liouville problem on a curveAsymptotics of the spectrum and eigenfunctions of the magnetic induction operator on a compact two-dimensional surface of revolutionOn the methods of study of the asymptotic behavior of solutions of singular differential equationsStability of Poiseuille-type flows for an MHD model of an incompressible polymeric fluidThe semiclassical small-ℏ limit of loci of roots of subdominant solutions for polynomial potentialsOn the stability of systems of two first-order linear ordinary differential equationsUnnamed ItemThe limit spectral graph in semiclassical approximation for the Sturm-Liouville problem with complex polynomial potentialLyapunov functions in justification theorems for asymptoticsFlow of a multilayer ideal incompressible and heavy fluid past a bodyAsymptotic solutions of a linear system with a small parameter in the coefficients of a part of derivativesSteady disturbed viscous incompressible gas flows in a long cylinder with one closed endThe deformation of a cone of transversally isotropic material by the action of temperature and an axial forceAsymptotics at infinity of solutions of equations close to Hamiltonian equationsNecessary conditions and a test for the stability of a system of two linear ordinary differential equations of the first orderA localization criterion for the eigenvalues of a spectrally unstable operatorWKB method for nonlinear equations of Emden-Fowler typeTwo-dimensional Coulomb scattering of a quantum particle: low-energy asymptotic behaviorSingular initial-value and boundary-value problems for integrodifferential equations in dynamical insurance models with investmentsStability criteria for systems of two first-order linear ordinary differential equationsRole of two-dimensional acoustic wave cutoff in the instability of subsonic MHD flowsStabilization of solution of Cauchy problem for a non-divergent parabolic equationFundamental solution and Fourier series in eigenfunctions of degenerate elliptic operatorIntegral representation and stabilization of the solution to the Cauchy problem for an equation with two noncommuting operatorsNumerical methods and asymptotic error expansions for the Emden-Fowler equationsAsymptotic structure of inviscid disturbances in a thin shock layerNumerical modeling of the disturbances of the separated flow in a rounded compression cornerThe asymptotic behavior of solutions to linear ordinary differential systems with a parameter on the half-axisLevel lines of harmonic functions related to some Abelian integralsDichotomy of WKB-solutions of discrete Schrödinger equationAnalogs of Bohr-Sommerfeld-Maslov quantization conditions on Riemann surfaces and spectral series of nonself-adjoint operatorsAsymptotic solutions of the Cauchy problem with localized initial conditions for linearized two-dimensional Boussinesq-type equations with variable coefficientsOn some special solutions of the fifth Painlevé equationOn the asymptotic integration of a linear system of differential equations with a small parameter in the coefficients of some derivativesAsymptotics of regularized solutions of a linear nonautonomous system of advanced differential equationsAdiabatic asymptotics of reflection coefficients of a quantum electron moving in a two-dimensional waveguideOn the well-posedness of a weighted boundary-value problem for systems of ODEs with singularityAsymptotics of the spectrum and quantum averages near the boundaries of spectral clusters for perturbed two-dimensional oscillatorsLagrangian tori and quantization conditions corresponding to spectral series of the Laplace operator on a surface of revolution with conical pointsControllability of a multichannel systemUniform asymptotic solution in the form of an Airy function for semiclassical bound states in one-dimensional and radially symmetric problemsAsymptotics of the spectrum of the hydrogen atom in orthogonal electric and magnetic fields near the lower boundaries of spectral clustersTwo-dimensional low-energy scattering of a quantum particle in the summed field of Coulomb and power-law potentialsAsymptotic integration of nonoscillatory second-order differential equationsNecessary and sufficient conditions for stabilization of a solution to the Cauchy problem for the parabolic equation with radial potentialThe asymptotic behavior of solutions of ordinary differential equations in the degenerate caseLagrangian manifolds and efficient short-wave asymptotics in a neighborhood of a caustic cuspSmooth diagonalization of Hermitian matrix-functionsExact boundary controllability for the Boussinesq equation with variable coefficientsAsymptotic analogs of the Floquet-Lyapunov theorem for some classes of periodic systems of ordinary differential equationsEfficient formulas for the Maslov canonical operator near a simple causticComputation of eigenfrequencies of an acoustic medium in a prolate spheroid by a modified Abramov methodResurgence-summability of ramified formal series depending of a parameter and solutions of linear differential equationsSemiclassical asymptotic behavior of the spectrum of a nonselfadjoint elliptic operator on a two-dimensional surface of revolutionQuantization conditions on Riemannian surfaces and the semiclassical spectrum of the Schrödinger operator with complex potentialTurning point in a system of differential equations with analytic operatorInner turning point in the theory of singular perturbationsBoundedness and stability criteria for linear ordinary differential equations of the second orderInternal waves excited by a moving source in a medium of variable buoyancyOn the asymptotics of solutions of a singular \(n\)th-order differential equation with nonregular coefficientsSharp eigenvalue asymptotics for fourth order operators on the circleOn the structure of the solution to singularly perturbed initial boundary value problems with an unbounded spectrum of the limit operatorSemiclassical asymptotic spectrum of the two-dimensional Hartree operator near a local maximum of the eigenvalues in a spectral clusterAsymptotics of spectral data of a harmonic oscillator perturbed by a potentialLyapunov functions and asymptotics at infinity of solutions of equations that are close to Hamiltonian equationsPhase integral method in the problem of quasiclassical localization of spectraSynchronization in a nonisochronous nonautonomous systemEnergy splitting in dynamical tunnelingPassage to the limit \(\mathbb{P}_ 2\longrightarrow\mathbb{P}_ 1\)Weakly nonlinear solutions of equation \(P^ 2_ 1\)The second Painlevé equation in a problem concerning nonlinear effects near causticsEssential singularity of the second-genus Painlevé function and the nonlinear Stokes phenomenonPerturbation theory for the one-dimensional Schrödinger scattering problemOn the deficiency index of a differential operator with fast oscillating coefficientsAsymptotic of regularized solutions of the ill-posed Cauchy problem for a linear nonautonomous system with delayInterpolation in the asymptotic integration of nonoscillatory differential equationsLinear differential equations and multiple zeta values. II: A generalization of the WKB methodEvolution of perturbations on a steady weakly inhomogeneous background. Complex Hamiltonian equationsAsymptotic expressions for the second Painlevé functionsTwo-dimensional motion of a slow quantum particle in the field of a central long-range potentialExact and asymptotic solutions of the equation of internal gravity waves in a wedge-shaped regionOn the spectral instability of the Sturm-Liouville operator with a complex potentialSemiclassical asymptotics for a difference Schrödinger equation with two coalescent turning pointsAn approach to finding the asymptotics of polynomials given by recurrence relationsStability of the Poiseuille-type flow for a MHD model of an incompressible polymeric fluidUniform asymptotic expansions of the solutions of Stueckelberg's system with turning pointsNonstandard Lagrangian singularities and asymptotic eigenfunctions of the degenerating operator \(- \frac{d}{dx}D (x)\frac{d}{dx}\)Solution of the spectral problem for the Schrödinger equation with a degenerate polynomial potential of even powerRepresentation theorem for the solutions of equations with the turning point of infinite orderMovable poles of the solutions of Painlevé's equation of the third kind and their relation with Mathieu functionsMethod of isomonodromic deformations for ``degenerate third Painlevé equationThe reduced semiclassical description methodSingularly perturbed system of differential equations with a rational singularityQuasimodes of the two-dimensional quartic oscillatorSemiclassical asymptotics of the spectrum of a nonselfadjoint operator on the sphereAsymptotic expansion of the solution of a second-order equationSemiclassical approximation for the non-self-adjoint Sturm-Liouville problem with the potential \(q(x) = x^{4} - a^{2}x^{2}\)On perturbations of a tangential discontinuity surface between two non-uniform flows of an ideal incompressible fluidSemiclassical approximation for a nonself-adjoint Sturm-Liouville problem with a parabolic potentialThe asymptotic behavior of solutions of the sine-Gordon equation with singularities zeroSensitivity of plane Poiseuille flow to vibration of the channel wallsInstabilities of nonuniform flows in acoustically active mediaThe problem of waves of discrete spectrum in shear flows with sign- constant curvature of the profileInstability of plane-parallel supersonic gas flows in the linear approximationSplitting of systems of differential equations with slowly varying coefficients and irregular singular pointSelf-similar solutions of the modified nonlinear Schrödinger equationOn the stability loss of weakly non-uniform flows in extended regions. The formation of transverse oscillations of a tube conveying a fluid