Title
Second-order linear differential equations with piecewise constant arguments subject to nonlocal boundary conditions.
Abstract
We analyze the existence of solution for the class of second-order linear differential equations with functional dependencex″(t)+ax′(t)+bx(t)+cx′([t])+dx([t])=σ(t),t∈J=[0,T],where a,b,c,d∈R,T>0, and σ is a piecewise continuous function, subject to a certain type of nonlocal mixed boundary conditions which include the value of the derivative of x at the initial point x′(0).
Year
DOI
Venue
2012
10.1016/j.amc.2012.02.071
Applied Mathematics and Computation
Keywords
Field
DocType
Second-order differential equations,Linear functional differential equations,Piecewise constant arguments,Nonlocal boundary value problems,Existence of solution,Uniqueness of solution,Exact solution
Exact solutions in general relativity,Boundary value problem,Mathematical optimization,Linear differential equation,Mathematical analysis,Piecewise,Mathematics,Second order differential equations
Journal
Volume
Issue
ISSN
218
19
0096-3003
Citations 
PageRank 
References 
1
0.38
2
Authors
2
Name
Order
Citations
PageRank
Juan J. Nieto155981.45
Rosana RodríGuez-LóPez231636.50