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The existence of positive solutions of the nonlinear neutral differential equations in a Banach space

✍ Scribed by Wei Zhongli


Book ID
110619997
Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
1999
Tongue
English
Weight
341 KB
Volume
15
Category
Article
ISSN
0168-9673

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πŸ“œ SIMILAR VOLUMES


Existence of Solutions of Nonlinear Neut
✍ J.P Dauer; K Balachandran πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 102 KB

In this paper we prove the existence of mild solutions of a nonlinear neutral integrodifferential equation in a Banach space. The results are obtained by using the Schaefer fixed point theorem. As an application the controllability problem for the neutral system is discussed.

Existence for positive solutions of seco
✍ I. CulΓ‘kovΓ‘; L’. HanuΕ‘tiakovΓ‘; Rudolf Olach πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 321 KB

We consider the nonlinear neutral differential equations. This work contains some sufficient conditions for the existence of a positive solution which is bounded with exponential functions. The case when the solution converges to zero is also treated.