The focal boundary value problem for strongly singular higher-order nonlinear functional-differential equations
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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.
Keywordshigher order nonlinear functional-differential equations, two-point right-focal boundary value problem, strong singularity, Fredholm property
Document typePeer reviewed
Document versionFinal PDF
SourceBoundary Value Problems. 2015, vol. 2015, issue 17, p. 1-21.
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