Existence of Solutions of Nonlinear Differential Equations with Nonlocal Conditions
Copyright policy )Existence of Solutions of Nonlinear Differential Equations with Nonlocal Conditions
The authors consider the initial value problem for an abstract nonlinear ordinary differential equation of first order in some Banach space. The initial condition, which is a nonlocal condition, is of the type \(y(0)+ g(y)=y_0\), where \(g\) is some continuous function. Using a classical fixed-point theorem for compact maps due to Schäfer, the authors prove the existence of mild solutions.
- University of Ioannina Greece
- Yahoo! United States
- Université Djillali Liabes Algeria
nonlocal condition, Applied Mathematics, evolution, mild solution, uniqueness, fixed-point theorem, Nonlinear differential equations in abstract spaces, nonlinear evolution equation, Analysis
nonlocal condition, Applied Mathematics, evolution, mild solution, uniqueness, fixed-point theorem, Nonlinear differential equations in abstract spaces, nonlinear evolution equation, Analysis
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