Functional differential equations with nonlocal initial conditions.
Aizicovici, Sergiu, Gao, Yun (1997)
Journal of Applied Mathematics and Stochastic Analysis
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Displaying similar documents to “Existence of solutions for nonlinear mixed type integrodifferential equation of second order.”
Functional differential equations with nonlocal initial conditions.
Existence of Solutions of Abstract Nonlinear Mixed Functional Integrodifferential equation with nonlocal conditions
Machindra B. Dhakne, Poonam S. Bora (2017)
Nonautonomous Dynamical Systems
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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.
Existence of global solutions to nonlinear mixed Volterra-Fredholm integrodifferential equations with nonlocal conditions.
Tidke, Haribhau L. (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Exact and approximate solutions of delay differential equations with nonlocal history conditions.
Agarwal, S., Bahuguna, D. (2005)
Journal of Applied Mathematics and Stochastic Analysis
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On a mild solution of a semilinear functional-differential evolution nonlocal problem.
Byszewski, Ludwik, Akca, Haydar (1997)
Journal of Applied Mathematics and Stochastic Analysis
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Existence of solutions for delay evolution equations with nonlocal conditions
Xuping Zhang, Yongxiang Li (2017)
Open Mathematics
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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. ...
Existence of solutions of nonlinear integrodifferential equation with nonlocal condition.
Balachandran, K., Chandrasekaran, M. (1997)
Journal of Applied Mathematics and Stochastic Analysis
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Nonlinear mixed Volterra-Fredholm integrodifferential equation with nonlocal condition
Haribhau L. Tidke, Machindra B. Dhakne (2012)
Applications of Mathematics
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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.
Remarks on a nonlinear Volterra equation
W. Mydlarczyk (1991)
Annales Polonici Mathematici
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Existence and uniqueness of a classical solution to a functional-differential abstract nonlocal Cauchy problem.
Byszewski, Ludwik (1999)
Journal of Applied Mathematics and Stochastic Analysis
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Existence, uniqueness, and regularity of solutions to semilinear retarded differential equations.
Bahuguna, D. (2004)
Journal of Applied Mathematics and Stochastic Analysis
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On a Staffans type inequality for vector Volterra integro-differential equations
G. Karakostas (1987)
Colloquium Mathematicae
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Existence results for systems with nonlinear coupled nonlocal initial conditions
Octavia Bolojan, Gennaro Infante, Radu Precup (2015)
Mathematica Bohemica
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The purpose of the present paper is to study the existence of solutions to initial value problems for nonlinear first order differential systems subject to nonlinear nonlocal initial conditions of functional type. The approach uses vector-valued metrics and matrices convergent to zero. Two existence results are given by means of Schauder and Leray-Schauder fixed point principles and the existence and uniqueness of the solution is obtained via a fixed point theorem due to Perov. Two examples...