Homogeneous two-point problem for PDE of the second order in time variable and infinite order in spatial variables

DOI10.1515/math-2017-0009zbMath1371.35370OpenAlexW2590999441MaRDI QIDQ520134

Zinovii Mykolaiovych Nytrebych, Oksana Mykhailivna Malanchuk

Publication date: 3 April 2017

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2017-0009

zbMATH Keywords

PDEtwo-point problemnull spacedifferential-symbol method

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Boundary value problems for linear higher-order PDEs (35G15) PDEs of infinite order (35R50)

Related Items (11)

The differential-symbol method of solving the problem with local two-point in time conditions for a partial differential equation ⋮ On nontrivial solutions of a homogeneous two-point (in time) problem for the system of equations of the dynamic theory of elasticity ⋮ Two-point nonlocal problem for a weak nonlinear differential operator equation ⋮ The differential-symbol method of solving the problem two-point in time for a nonhomogeneous partial differential equation ⋮ Nonlocal boundary-value problem for an equation with differentiation operator \(z \partial/\partial z\) in a refined Sobolev scale ⋮ The differential-symbol method of constructing the quasi-polynomial solutions of two-point problem ⋮ Homogeneous two-point problem for PDE of the second order in time variable and infinite order in spatial variables ⋮ Nonlocal boundary-value problem for a second-order partial differential equation in an unbounded strip ⋮ The conditions of existence of a solution of the degenerate two-point in time problem for PDE ⋮ The differential-symbol method of constructing the quasipolynomial solutions of two-point in time problem for nonhomogeneous partial differential equation ⋮ Differential-symbol method of constructing the quasipolynomial solutions of a two-point problem for a partial differential equation

Cites Work

• Homogeneous two-point problem for PDE of the second order in time variable and infinite order in spatial variables
• Iterative methods for quasilinear hyperbolic systems in the first canonic form
• On Non-Oscillatory Linear Differential Equations with Monotone Coefficients
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