Approximate solution of multipoint boundary value problems for linear differential equations by polynomial functions

2008 ◽  
Vol 14 (12) ◽  
pp. 1289-1309 ◽  
Author(s):  
Ghiocel Groza ◽  
Nicolae Pop
Keyword(s):  
Approximate Solution ◽  
Differential Equations ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Linear Differential Equations ◽  
Polynomial Functions ◽  
Multipoint Boundary ◽  
Linear Differential ◽  
Multipoint Boundary Value Problems

Test for Disconjugacy of a Differential Inclusion of Neutral Type

1997 ◽  
Vol 4 (2) ◽  
pp. 101-108
Author(s):  
A. Haščák
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Differential Inclusion ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Neutral Type ◽  
Linear Differential Equations ◽  
Multipoint Boundary ◽  
Linear Differential ◽  
Multipoint Boundary Value Problems

Abstract Generalizations of the disconjugacy for a differential inclusion of neutral type are given. The relation between these generalizations and the existence of solutions of multipoint boundary value problems is discussed and the tests for disconjugacy are established. These tests are applicable to the linear differential equations of neutral type, too.

Nonlinear Multipoint Boundary Value Problems for Second Order Differential Equations

2010 ◽  
Vol 53 (3) ◽  
pp. 475-490
Author(s):  
Tadeusz Jankowski
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Second Order ◽  
Deviating Arguments ◽  
Multipoint Boundary ◽  
Monotone Iterative ◽  
Second Order Differential Equations ◽  
Multipoint Boundary Value Problems

AbstractIn this paper we shall discuss nonlinear multipoint boundary value problems for second order differential equations when deviating arguments depend on the unknown solution. Sufficient conditions under which such problems have extremal and quasi-solutions are given. The problem of when a unique solution exists is also investigated. To obtain existence results, a monotone iterative technique is used. Two examples are added to verify theoretical results.

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