Existence and uniqueness of generalized solutions to a telegraph equation with an integral boundary condition via Galerkin's method

DOI10.1155/2011/451492zbMath1217.65192OpenAlexW1975534431WikidataQ58687789 ScholiaQ58687789MaRDI QIDQ539368

Dhirendra Bahuguna, Jaydev Dabas, Assia Guezane-Lakoud

Publication date: 27 May 2011

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/228886

zbMATH Keywords

nonlocal boundary conditionsGalerkin's methodtelegraph equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Generalized solutions to partial differential equations (35D99)

Related Items (4)

An efficient algorithm based on the multi-wavelet Galerkin method for telegraph equation ⋮ Existence and exponential decay estimates for an \(N\)-dimensional nonlinear wave equation with a nonlocal boundary condition ⋮ On the existence of a local solution for an integro-differential equation with an integral boundary condition ⋮ SOLVABILITY OF THE MOORE–GIBSON–THOMPSON EQUATION WITH VISCOELASTIC MEMORY TERM AND INTEGRAL CONDITION VIA GALERKIN METHOD

Cites Work

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• Galerkin methods for a semilinear parabolic problem with nonlocal boundary conditions
• Approximations of solutions to neutral functional differential equations with nonlocal history conditions
• On a time-discretization method for a semilinear heat equation with purely integral conditions in a nonclassical function space
• Remarks on a semilinear heat equation with integral boundary conditions
• Galerkin method applied to a parabolic evolution problem with nonlocal boundary conditions
• Partial functional differential equation with an integral condition and applications to population dynamics
• Nonlocal problem with a first-kind integral condition for a multidimensional hyperbolic equation
• An integro-differential parabolic problem with an integral boundary condition
• Rothe's method for a telegraph equation with integral conditions
• Diffusion subject to the specification of mass
• Inequalities for differential and integral equations
• Rothe time-discretization method for a nonlocal problem arising in thermoelasticity
• On the solvability of boundary value problems with a nonlocal boundary condition of integral form for multidimensional hyperbolic equations
• A Galerkin Procedure for the Diffusion Equation Subject to the Specification of Mass
• Extensions of a property of the heat equation to linear thermoelasticity and other theories
• A boundary value problem in the theory of heat conduction with a nonclassical boundary condition

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