The focal boundary value problem for strongly singular higher-order nonlinear functional-differential equations

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Date
2015-01-30
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Mark
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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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Boundary Value Problems. 2015, vol. 2015, issue 17, p. 1-21.
http://www.boundaryvalueproblems.com/content/2015/1/17
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Peer-reviewed
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en
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Creative Commons Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
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