The focal boundary value problem for strongly singular higher-order nonlinear functional-differential equations
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Date
2015-01-30
Authors
Mukhigulashvili, Sulkhan
Půža, Bedřich
0000-0001-6321-4549Advisor
Referee
Mark
Journal Title
Journal ISSN
Volume Title
Publisher
Springer Nature
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Abstract
The a priori boundedness principle is proved for the two-point right-focal boundary value problems for strongly singular higher-order nonlinear functional-differential equations. Several sufficient conditions of solvability of the two-point right-focal problem under consideration are derived from the a priori boundedness principle. The proof of the a priori boundedness principle is based on Agarwal-Kiguradze type theorems, which guarantee the existence of the Fredholm property for strongly singular higher-order linear differential equations with argument deviations under the two-point right-focal boundary conditions.
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Citation
Boundary Value Problems. 2015, vol. 2015, issue 17, p. 1-21.
http://www.boundaryvalueproblems.com/content/2015/1/17
http://www.boundaryvalueproblems.com/content/2015/1/17
Document type
Peer-reviewed
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Published version
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Language of document
en