The method of coupled fixed points and coupled quasisolutions when working with ODE's with arguments of bounded variation

DOI10.1155/2013/603703zbMath1432.34082arXiv1305.3266OpenAlexW2085031776WikidataQ58917269 ScholiaQ58917269MaRDI QIDQ2318875

Rubén Figueroa

Publication date: 16 August 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.3266

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Fixed-point theorems (47H10) General theory of functional-differential equations (34K05) Functions of bounded variation, generalizations (26A45)

Cites Work

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• Coupled fixed points of multivalued operators and first-order ODEs with state-dependent deviating arguments
• Advanced differential equations with nonlinear boundary conditions
• Boundary value problems for ordinary differential equations with deviated arguments
• Necessary conditions for solving initial value problems with infima of superfunctions
• Extremal solutions of a discontinuous scalar differential equation
• Nonordered discontinuous upper and lower solutions for first-order ordinary differential equations