Weak Solutions for the Dynamic Cauchy Problem in Banach Spaces
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Date
2009
Journal Title
Journal ISSN
Volume Title
Publisher
Pergamon-elsevier Science Ltd
Open Access Color
Green Open Access
No
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No
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Top 10%
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Top 10%
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Average
Abstract
This paper is devoted to unify and extend the results of the existence of the weak solutions of continuous and discrete Cauchy problem in Banach spaces. We offer the existence of the weak solution of dynamic Cauchy problem on an infinite time scale. The measure of weak noncompactness and the fixed point theorem of Kubiaczyk are used to prove the main result. (C) 2009 Elsevier Ltd. All rights reserved.
Description
Yantir, Ahmet/0000-0002-4855-1691; Yantır, Ahmet/0000-0002-4855-1691; Cichoń, Mieczysław/0000-0003-2255-9449; Sikorska-Nowak, Aneta/0000-0002-6613-9078
Keywords
Cauchy dynamic problem, Banach space, Weak solutions, Measure of weak noncompactness, Time scale, Dynamic equations on time scales or measure chains, Banach space, Applications of operator theory to differential and integral equations, weak solutions, Differential inequalities involving functions of a single real variable, time scale, measure of noncompactness, Cauchy dynamic problem, Nonlinear differential equations in abstract spaces, Measures of noncompactness and condensing mappings, \(K\)-set contractions, etc.
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q1
Scopus Q
Q2
OpenCitations Citation Count
13
Source
Nonlinear Analysis: Theory, Methods & Applications
Volume
71
Issue
7-8
Start Page
2936
End Page
2943
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CrossRef : 7
Scopus : 19
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