In this paper, we investigate the Goursat problem in the class C2+1(D)∩Cn+0(D∪P) ∩C0+0(D∪Q) for a third order pseudoparabolic equation. Some results are given concerning the existence and uniqueness for the solution of the ...
The objective of this article is to construct in a hyper-rectangular region of the 4-dimensional Euclidean space a solution of the Goursat problem for the following equation: L(u) =∑m1 i1=0∑m2 i2=0∑m3 i3=0∑m4 i4=0ai1 i2 ...
The aim of the present paper is the investigation of some problems which can be reduced to the Goursat problem for a third order equation. Some results and theorems are given concerning the existence and uniqunce for solving ...
In this paper, the Goursat problem of a third order equation on cases of explicit solvability is investigated, with the help of the Riemann function. Some results and one theorem are given concerning the existence and ...
In this paper, the Goursat problem of a general form for a linear partial differential equation is investigated with the help of the Riemann function method. Some results are given concerning the existence and uniqueness ...