[PDF] Top 20 A boundary value problem for the wave equation

... and obtain self adjointness. In the subsequent papers [4, 8], some generalizations of these results were considered. These generalizations were focused on the dimen- sion of the space variable while preserving both the ... See full document

... We introduce a class of logarithmic wave equation. We study the global existence of week solution for this class of equation. We deal with the initial boundary value problem of ... See full document

... Wave equation, radial symmetry, boundary value problem, eigenvalue problem, Hilbert space, weighted Sobolev space, Fredholm operator, Laplace transform, Bessel functions.. 1980 AMS SUBJE[r] ... See full document

... In this paper, we give an analytical solution of a fractional wave equation for a vibrating string with Caputo time fractional derivatives. We obtain the exact solution in terms of three parameter ... See full document

... In , Georgiev and Todorova [] investigated the initial boundary value problem of (.), where a = b = , p, m > . They proved the existence of global solutions under the condition  < p ≤ ... See full document

... Global Solvability of Boundary Value Problem for a Class of Quasilinear Hyperbolic Equations, Sib.. On The Strongly Damped Wave Equation u" Au Au’ + Fu O, SIAMJ.[r] ... See full document

... Boundary value problems arise in several branches of physics as any physical differential equation will have ...the wave equation, such as the determination of normal modes, are often ... See full document

... Partial differential equations, piecewise constant delay, boundary value problem, initial value problem, abstract Cauchy problem, Hilbert space, loaded equation, wave equation.. 1991 AMS[r] ... See full document

... of boundary value problem of the singularly perturbed of second order differential equation in the case when unperturbed equation has the regular singular ... See full document

... a boundary value problem of a fourth-order impulsive differential equation with a control parameter λ ...the boundary value problem admits at least one ...the ... See full document

... initial value problem for the hyperbolic system of equations with nonlo- cal boundary conditions is ...this problem in interpolation spaces is ...nonlocal boundary conditions are ... See full document

... integro-differential equation. Any Volterra integro-differential equation is characterized by the existence of one or more of the derivatives ...initial value problem to an integral ... See full document

... We consider the existence of solutions for a Neumann boundary value problem for the fractional p-Laplacian equation. Under certain nonlinear growth conditions of the nonlinearity, we obtain a ... See full document

... This paper is devoted to the study of a mixed problem for a nonlinear parabolic integro-differential equation which mainly arise from a one dimensional quasistatic contact problem. We prove the ... See full document

... The boundary value problem with a spectral parameter in the boundary conditions for a polynomial pencil of the Sturm-Liouville operator is ...the boundary value problem ... See full document

... In this paper, by using the coincidence degree theory, we study the existence of solutions for a coupled system of fractional differential equations at resonance. A new result on the existence of solutions for a ... See full document

... Linear boundary value problems (BVPs) for differential equations with ordinary deriva- tives that lack the everywhere and unique solvability are met with in various ...differential equation (AFDE) are ... See full document

... of boundary value problems for a 2m-th order parabolic equation in H¨ older spaces for noncylindrical domains (of the same kind but which cannot include our domain) with a nonsmooth (in t) lateral ... See full document

... that wave propagation along a thin wire located inside a rectangular waveguide with imperfectly reflecting ...the wave propagation for the case of a thin wire on the interface between two semi-infinite ... See full document

... initial-boundary value problems in one space vari- able, which involve an integral over the spatial domain of a function of the desired solution that may appear in a boundary ...heat equation ... See full document