Nonlocal Cauchy Problems for Neutral Functional Differential and Integrodifferential Inclusions in Banach Spaces

By Mouffak Benchohra, Sotiris K. Ntouyas. 2001

104 citations recorded by the source corpus.

In this paper we investigate the existence of mild solutions on a compact interval to initial value problems for neutral functional differential and integrodifferential inclusions in Banach spaces with nonlocal conditions. The results are obtained by using a fixed point theorem for condensing maps due to Martelli.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/a1c62490a00476ccec89788bd607688fe6504415

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In Applied Mathematics

1. Yongxiang Li
2. Pengyu Chen
3. V. Staicu
4. Sergiu Aizicovici
5. X. Xue
6. Nikolaos S. Papageorgiou
7. Xuping Zhang
8. Vicentiu D. Rădulescu

In Modeling and Simulation

1. Yongxiang Li
2. Pengyu Chen
3. X. Xue
4. Xuping Zhang

Citations in the corpus

• Nonlocal nonlinear differential equations with a measure of noncompactness in Banach spaces (2009, background): “Ntouyas and Tsamatos [23,24] study the case with compactness conditions.”
• Monotone Iterative Technique for a Class of Semilinear Evolution Equations with Nonlocal Conditions (2013, background): “The importance of nonlocal conditions have been discussed in [2,4–6, 8–15].”
• Multivalued evolution equations with nonlocal initial conditions in Banach spaces (2007, background): “1) (with A = 0) appear in [13], [21], while abstract semilinear evolution inclusions with nonlocal initial conditions have been considered in [1], [9], [10], [11].”