The Dirichlet boundary value problems for strongly singular higher-order nonlinear functional-differential equations
Sulkhan Mukhigulashvili (2013)
Czechoslovak Mathematical Journal
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The a priori boundedness principle is proved for the Dirichlet boundary value problems for strongly singular higher-order nonlinear functional-differential equations. Several sufficient conditions of solvability of the Dirichlet problem under consideration are derived from the a priori boundedness principle. The proof of the a priori boundedness principle is based on the Agarwal-Kiguradze type theorems, which guarantee the existence of the Fredholm property for strongly singular higher-order...