Displaying similar documents to “On a multipoint boundary value problem for linear ordinary differential equations with singularities”

On the Vallée-Poussin problem for singular differential equations with deviating arguments

Ivan Kiguradze, Bedřich Půža (1997)

Archivum Mathematicum

Similarity:

For the differential equation u ( n ) ( t ) = f ( t , u ( τ 1 ( t ) ) , ⋯ , u ( n - 1 ) ( τ n ( t ) ) ) , where the vector function f : ] a , b [ × R k n → R k has nonintegrable singularities with respect to the first argument, sufficient conditions for existence and uniqueness of the Vallée–Poussin problem are established.

The Dirichlet boundary value problems for strongly singular higher-order nonlinear functional-differential equations

Sulkhan Mukhigulashvili (2013)

Czechoslovak Mathematical Journal

Similarity:

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...