Add to ORKGWe study the first-order nonhomogenous wave equation. We extend the convolution the-orem into a general case with a double convolution as the nonhomogenous term. The uniqueness and continuity of the solution are proved and we provide some examples in order to validate our results. Copyright © 2007 A. Kılıçman and H. Eltayeb. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, dis-tribution, and reproduction in any medium, provided the original work is properly cited. 1
The well-known ideal wave equation is valid only for homogeneous media, where the wave propagation s...
Inspired by the work of men like Bremmer, so many authors have developed the field of wave equations...
Trofimchuk, S (reprint author), Univ Talca, Inst Matemat & Fis, Casilla 747, Talca, Chile.Motivated ...
AbstractIn this study we consider general linear second-order partial differential equations and we ...
Trofimchuk, S (Trofimchuk, Sergei) Univ Talca, Inst Matemat & Fis,This paper is concerned with a sca...
In this study we consider general linear second-order partial differential equations and we solve th...
In this study we apply convolution and tensor products of distribution to solve the non-homogenous w...
In this work, we prove a comparison result for a general class of nonlinear dispersive unidirectiona...
This thesis is about the wave equation. The wave equation describes waves that propagate through a c...
In this study we extend the classification of partial differential equations to the further using th...
In this study we extend the classification of partial differential equations to the further using th...
In this study we consider the linear second order partial differential equations with non-homogenous...
In this paper, we study the properties of Sumudu transform and relationship between Laplace and Sumu...
In this work, we prove a comparison result for a general class of nonlinear dispersive unidirectiona...
In this study, first of all, we consider wave equations with constant coefficients. By using convolu...
The well-known ideal wave equation is valid only for homogeneous media, where the wave propagation s...
Inspired by the work of men like Bremmer, so many authors have developed the field of wave equations...
Trofimchuk, S (reprint author), Univ Talca, Inst Matemat & Fis, Casilla 747, Talca, Chile.Motivated ...
AbstractIn this study we consider general linear second-order partial differential equations and we ...
Trofimchuk, S (Trofimchuk, Sergei) Univ Talca, Inst Matemat & Fis,This paper is concerned with a sca...
In this study we consider general linear second-order partial differential equations and we solve th...
In this study we apply convolution and tensor products of distribution to solve the non-homogenous w...
In this work, we prove a comparison result for a general class of nonlinear dispersive unidirectiona...
This thesis is about the wave equation. The wave equation describes waves that propagate through a c...
In this study we extend the classification of partial differential equations to the further using th...
In this study we extend the classification of partial differential equations to the further using th...
In this study we consider the linear second order partial differential equations with non-homogenous...
In this paper, we study the properties of Sumudu transform and relationship between Laplace and Sumu...
In this work, we prove a comparison result for a general class of nonlinear dispersive unidirectiona...
In this study, first of all, we consider wave equations with constant coefficients. By using convolu...
The well-known ideal wave equation is valid only for homogeneous media, where the wave propagation s...
Inspired by the work of men like Bremmer, so many authors have developed the field of wave equations...
Trofimchuk, S (reprint author), Univ Talca, Inst Matemat & Fis, Casilla 747, Talca, Chile.Motivated ...