scholarly journals Oscillation criteria for boundary value problems of high-order partial functional differential equations

2007 ◽  
Vol 206 (1) ◽  
pp. 567-577 ◽  
Author(s):  
Peiguang Wang ◽  
Yonghong Wu ◽  
Lou Caccetta
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
High Order ◽  
Oscillation Criteria ◽  
Partial Functional Differential Equations ◽  
Functional Differential

scholarly journals Initial and boundary value problems for partial functional differential equations

1997 ◽  
Vol 10 (2) ◽  
pp. 157-168
Author(s):  
S. K. Ntouyas ◽  
P. Ch. Tsamatos
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Partial Functional Differential Equations ◽  
Point Analysis ◽  
Functional Differential

In this paper we study the existence of solutions to initial and boundary value problems of partial functional differential equations via a fixed-point analysis approach. Using the topological transversality theorem we derive conditions under which an initial or a boundary value problem has a solution.

scholarly journals On variational formulations for functional differential equations

2007 ◽  
Vol 5 (1) ◽  
pp. 89-101 ◽  
Author(s):  
I. A. Kolesnikova ◽  
A. M. Popov ◽  
V. M. Savchin
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Variational Principles ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Sufficient Conditions ◽  
Partial Functional Differential Equations ◽  
Functional Differential ◽  
Necessary And Sufficient ◽  
Variational Formulations

Necessary and sufficient conditions for the existence of integral variational principles for boundary value problems for given ordinary and partial functional differential equations are obtained. Examples are given illustrating the results.

ON THE CONSTRUCTION OF A CLASS OF COMPUTABLE OPERATORS

2021 ◽  
Vol 28 (28) ◽  
pp. 51-72
Author(s):  
A. RUMYANTSEV RUMYANTSEV
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Linear Boundary ◽  
Constructive Approach ◽  
Functional Differential ◽  
Computable Operators

Within the framework of a constructive approach to the study of linear boundary value problems for functional differential equations, a way for constructing one class of so-called computable operators is proposed.

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