The Kneser property for abstract retarded functional differential equations with infinite delay.
Henríquez, Hernán R. (2003)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Henríquez, Hernán R. (2003)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Xiaojie Lin, Qin Zhang, Zengji Du (2011)
Applications of Mathematics
Similarity:
Based on the coincidence degree theory of Mawhin, we get a new general existence result for the following higher-order multi-point boundary value problem at resonance where is a Carathéodory function, , , , and , , , . In this paper, two of the boundary value conditions are responsible for resonance.
Yuji Liu (2009)
Applications of Mathematics
Similarity:
This paper deals with the periodic boundary value problem for nonlinear impulsive functional differential equation We first present a survey and then obtain new sufficient conditions for the existence of at least one solution by using Mawhin’s continuation theorem. Examples are presented to illustrate the main results.
Alexander Lomtatidze, P. Torres (2003)
Czechoslovak Mathematical Journal
Similarity:
The problem on the existence of a positive in the interval solution of the boundary value problem is considered, where the functions and satisfy the local Carathéodory conditions. The possibility for the functions and to have singularities in the first argument (for and ) and in the phase variable (for ) is not excluded. Sufficient and, in some cases, necessary and sufficient conditions for the solvability of that problem are established.
Jaroslav Drobek (2012)
Applications of Mathematics
Similarity:
The paper is a contribution to the complex variable boundary element method, shortly CVBEM. It is focused on Jordan regions having piecewise regular boundaries without cusps. Dini continuous densities whose modulus of continuity satisfies are considered on these boundaries. Functions satisfying the Hölder condition of order , , belong to them. The statement that any Cauchy-type integral with such a density can be uniformly approximated by a Cauchy-type integral whose density is...