Functional differential equations with nonlocal initial conditions.
Aizicovici, Sergiu, Gao, Yun (1997)
Journal of Applied Mathematics and Stochastic Analysis
Similarity:
Aizicovici, Sergiu, Gao, Yun (1997)
Journal of Applied Mathematics and Stochastic Analysis
Similarity:
Machindra B. Dhakne, Poonam S. Bora (2017)
Nonautonomous Dynamical Systems
Similarity:
In this paper we discuss the existence of mild and strong solutions of abstract nonlinear mixed functional integrodifferential equation with nonlocal condition by using Sadovskii’s fixed point theorem and theory of fractional power of operators.
Tidke, Haribhau L. (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Similarity:
Agarwal, S., Bahuguna, D. (2005)
Journal of Applied Mathematics and Stochastic Analysis
Similarity:
Byszewski, Ludwik, Akca, Haydar (1997)
Journal of Applied Mathematics and Stochastic Analysis
Similarity:
Xuping Zhang, Yongxiang Li (2017)
Open Mathematics
Similarity:
In this paper, we are devoted to study the existence of mild solutions for delay evolution equations with nonlocal conditions. By using tools involving the Kuratowski measure of noncompactness and fixed point theory, we establish some existence results of mild solutions without the assumption of compactness on the associated semigroup. Our results improve and generalize some related conclusions on this issue. Moreover, we present an example to illustrate the application of the main results. ...
Balachandran, K., Chandrasekaran, M. (1997)
Journal of Applied Mathematics and Stochastic Analysis
Similarity:
Haribhau L. Tidke, Machindra B. Dhakne (2012)
Applications of Mathematics
Similarity:
The aim of the present paper is to investigate the global existence of mild solutions of nonlinear mixed Volterra-Fredholm integrodifferential equations, with nonlocal condition. Our analysis is based on an application of the Leray-Schauder alternative and rely on a priori bounds of solutions.
W. Mydlarczyk (1991)
Annales Polonici Mathematici
Similarity:
Byszewski, Ludwik (1999)
Journal of Applied Mathematics and Stochastic Analysis
Similarity:
Bahuguna, D. (2004)
Journal of Applied Mathematics and Stochastic Analysis
Similarity:
G. Karakostas (1987)
Colloquium Mathematicae
Similarity: