Title | ||
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Second-order linear differential equations with piecewise constant arguments subject to nonlocal boundary conditions. |
Abstract | ||
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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 |
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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. Nieto | 1 | 559 | 81.45 |
Rosana RodríGuez-LóPez | 2 | 316 | 36.50 |