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Nonlinear boundary value problems for second order differential equations with causal operators
Authors:Tadeusz Jankowski
Affiliation:Gdansk University of Technology, Department of Differential Equations, 11/12 G. Narutowicz street, 80-952 Gdańsk, Poland
Abstract:In this paper we deal with second order differential equations with causal operators. To obtain sufficient conditions for existence of solutions we use a monotone iterative method. We investigate both differential equations and differential inequalities. An example illustrates the results obtained.
Keywords:Nonlinear boundary conditions   Second order differential equations   Causal operators   Differential inequalities with positive linear operators   Monotone iterative method   Extremal solutions   Unique solution
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