Add to ORKGWe analyze a boundary-value problem for linear partial differential algebraic equations, or PDAEs, by using the method of the separation of variables. The analysis is based on the Kronecker-Weierstrass form of the matrix pencil [A,-ln B]. A new theorem is proved and two illustrative examples are given
AbstractIn this paper, we summarize our recent work on establishing, for the first time, an algorith...
We develop a new theory for treating boundary problems for linear ordinary differential equations wh...
Copyright c © 2014 Charalambos P. Kontzalis and Panayiotis Vlamos. This is an open access article di...
Boundary Value Problems is the leading text on boundary value problems and Fourier series. The autho...
In this thesis the following contributions are made to the general theory of boundary value problems...
By the use of the corresponding shift matrix, the paper gives a criterion for the unique solvability...
We construct necessary and sufficient conditions for the existence of solution of linear boundary va...
Abstract. The classical methods for solving initial-boundary-value problems for linear partial dif-f...
The author gives a concise summary of research results concerning the boundary value problem Cu=f on...
AbstractWe present a new approach for expressing and solving boundary problems for linear ordinary d...
AbstractIn this paper we study existence conditions and explicit closed-form solutions of boundary v...
Partial differential equation theory encompasses a wide variety of problems from the various branche...
AbstractIn this paper two-point boundary value problems for systems of second-order differential equ...
Building on the basic techniques of separation of variables and Fourier series, the book presents th...
We study multidimensional difference equations with a continual variable in the Sobolev-Slobodetskii...
AbstractIn this paper, we summarize our recent work on establishing, for the first time, an algorith...
We develop a new theory for treating boundary problems for linear ordinary differential equations wh...
Copyright c © 2014 Charalambos P. Kontzalis and Panayiotis Vlamos. This is an open access article di...
Boundary Value Problems is the leading text on boundary value problems and Fourier series. The autho...
In this thesis the following contributions are made to the general theory of boundary value problems...
By the use of the corresponding shift matrix, the paper gives a criterion for the unique solvability...
We construct necessary and sufficient conditions for the existence of solution of linear boundary va...
Abstract. The classical methods for solving initial-boundary-value problems for linear partial dif-f...
The author gives a concise summary of research results concerning the boundary value problem Cu=f on...
AbstractWe present a new approach for expressing and solving boundary problems for linear ordinary d...
AbstractIn this paper we study existence conditions and explicit closed-form solutions of boundary v...
Partial differential equation theory encompasses a wide variety of problems from the various branche...
AbstractIn this paper two-point boundary value problems for systems of second-order differential equ...
Building on the basic techniques of separation of variables and Fourier series, the book presents th...
We study multidimensional difference equations with a continual variable in the Sobolev-Slobodetskii...
AbstractIn this paper, we summarize our recent work on establishing, for the first time, an algorith...
We develop a new theory for treating boundary problems for linear ordinary differential equations wh...
Copyright c © 2014 Charalambos P. Kontzalis and Panayiotis Vlamos. This is an open access article di...