On singular boundary value problems for functional-differential equations of higher order.
Kiguradze, I., Půža, B., Stavroulakis, I.P. (2001)
Georgian Mathematical Journal
Eugene Bravyi (2011)
Mathematica Bohemica
Consider boundary value problems for a functional differential equation where are positive linear operators; is a linear bounded vector-functional, , , . Let the solvability set be the set of all points such that for all operators , with the problems have a unique solution for every and . A method of finding the solvability sets are proposed. Some new properties of these sets are obtained in various cases. We continue the investigations of the solvability sets started in R. Hakl,...
Yiannis Sficas (1971)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Hakl, Robert (1999)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Kiguradze, I., Chichua, D. (1995)
Georgian Mathematical Journal
Bogdan Rzepecki (1979)
Publications de l'Institut Mathématique
B. Rzepecki (1979)
Publications de l'Institut Mathématique [Elektronische Ressource]
Staněk, Svatoslav (1992)
Czechoslovak Mathematical Journal
Alexander Domoshnitsky, Robert Hakl, Bedřich Půža (2012)
Czechoslovak Mathematical Journal
Consider the homogeneous equation where is a linear bounded operator. The efficient conditions guaranteeing that the solution set to the equation considered is one-dimensional, generated by a positive monotone function, are established. The results obtained are applied to get new efficient conditions sufficient for the solvability of a class of boundary value problems for first order linear functional differential equations.
Diagana, T., Mophou, G.M., N'guérékata, G.M. (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Jan Ligęza (2006)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
We study the existence of one-signed periodic solutions of the equations where , is continuous and 1-periodic, is a continuous and 1-periodic in the first variable and may take values of different signs. The Krasnosielski fixed point theorem on cone is used.
Milutin Dostanić (1993)
Matematički Vesnik
Kamenskij, G.A., Zabrodina, Yu.P. (2001)
Journal of Inequalities and Applications [electronic only]
Maksimov, V.P., Munembe, J.S.P. (1997)
Memoirs on Differential Equations and Mathematical Physics
Viktor Pirč (1998)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Alexander Haščák (1990)
Archivum Mathematicum
Kiguradze, I., Puz̆a, B. (1997)
Memoirs on Differential Equations and Mathematical Physics
Kiguradze, I., Půža, B. (1998)
Georgian Mathematical Journal
Ivan Kiguradze, Bedřich Půža (1997)
Archivum Mathematicum
For the differential equation where the vector function has nonintegrable singularities with respect to the first argument, sufficient conditions for existence and uniqueness of the Vallée–Poussin problem are established.
E. Bravyi, Robert Hakl, Alexander Lomtatidze (2002)
Czechoslovak Mathematical Journal
Nonimprovable, in a sense sufficient conditions guaranteeing the unique solvability of the problem where is a linear bounded operator, , and , are established.