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Nonlinear Multipoint Boundary Value Problems for Second Order Differential Equations

  Published:2010-05-11
 Printed: Sep 2010
  • Tadeusz Jankowski,
    Department of Differential Equations, Gdansk University of Technology, 80–952 Gdańsk, Poland
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Abstract

In 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.
Keywords: second order differential equations, deviated arguments, nonlinear boundary conditions, extremal solutions, quasi-solutions, unique solution second order differential equations, deviated arguments, nonlinear boundary conditions, extremal solutions, quasi-solutions, unique solution
MSC Classifications: 34A45, 34K10 show english descriptions Theoretical approximation of solutions {For numerical analysis, see 65Lxx}
Boundary value problems
34A45 - Theoretical approximation of solutions {For numerical analysis, see 65Lxx}
34K10 - Boundary value problems
 

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