Conditions for the existence of bounded solutions of nonlinear differential and functional differential equations
β Scribed by V.Yu. Slyusarchuk
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 231 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0041-5995
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π SIMILAR VOLUMES
This paper is concerned with the existence and approximation of solutions for a class of first-order functional differential equations with periodic boundary conditions. We present a new comparison result and extend previous results. (~) 2000 Elsevier Science Ltd. All rights reserved.
In this paper we investigate the existence of mild solutions to first order semilinear differential equations in Banach spaces with nonlocal conditions. We shall rely on a fixed point theorem for compact maps due to Schaefer.
Under suitable conditions on f(t, yt (0)), the boundary value problem of second-order functional differential equation (FDE) with the form: ( ~y(t) + 5y'(t) = ~(t), for t E [1, 1 + a], (BVP) has at least one positive solution. Moreover, we also apply this main result to establish several existence