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Partial Differential EquationsExplorations in Numerical Analysis
- Publisher
- de Gruyter
- Copyright
- © 2019 Arshi Meraj, Dwijendra Narain Pandey, published by De Gruyter
- ISSN
- 0420-1213
- eISSN
- 2391-4661
- DOI
- 10.1515/dema-2019-0005
- Publisher site
- See Article on Publisher Site
Abstract
AbstractThe objective of this article is to discuss the existence and uniqueness of mild solutions for a class of non-autonomous semilinear differential equations with nonlocal condition via monotone iterative method with upper and lower solutions in an ordered complete norm space X, using evolution system and measure of noncompactness.
Journal
Demonstratio Mathematica – de Gruyter
Published: Jan 1, 2019
Keywords: evolution system; monotone iterative technique; lower and upper solutions; Kuratowski measure of noncompactness; 34G20; 34K30