Existence and approximation of solutions to nonlinear hybrid ordinary differential equations |
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| Affiliation: | 1. School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur (C.G.) 492010, India;2. Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, Santiago de Compostela 15782, Spain |
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| Abstract: | In this note, we consider the initial value problem for first order nonlinear hybrid ordinary differential equations and we discuss the existence and approximation of the solutions. The main results are related to a recent work by Dhage et al. (2014) through the restructuring of some of the hypotheses imposed and the extension of some of the results there. In addition, we provide an example to illustrate the applicability of the abstract results developed. |
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| Keywords: | Hybrid ODE Initial value problem Hybrid fixed point result Approximation of solutions |
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