Editor-in-Chief: Kiguradze, Ivan / Shervashidze, T.
Editorial Board Member: Kvinikadze, M. / Bantsuri, R. / Baues, Hans-Joachim / Besov, O.V. / Bojarski, B. / Duduchava, R. / Engelbert, Hans-Jürgen / Gamkrelidze, R. / Gubeladze, J. / Hirzebruch, F. / Inassaridze, Hvedri / Jibladze, M. / Kadeishvili, T. / Kegel, Otto H. / Kharazishvili, Alexander / Kharibegashvili, S. / Khmaladze, E. / Kiguradze, Tariel / Kokilashvili, V. / Krushkal, S. I. / Kurzweil, J. / Kwapien, S. / Lerche, Hans Rudolf / Mawhin, J. / Ricci, P.E. / Tarieladze, V. / Triebel, Hans / Vakhania, N. / Zanolin, Fabio
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11. A. Razmadze Mathematical Institute, I. Javakhishvili Tbilisi State University, 2 University St., Tbilisi 0186; and 2. Sukhumi University, 9 Polytkovskaya St., Tbilisi 0186, Georgia
Citation Information: Georgian Mathematical Journal. Volume 19, Issue 1, Pages 19–40, ISSN (Online) 1572-9176, ISSN (Print) 1072-947X, DOI: 10.1515/gmj-2011-0053, February 2012
Some two-point boundary value problems are considered for linear impulsive systems with singularities. The singularity is understood in the sense that the matrix- and vector-functions of a continuous (as well as of a discrete) argument which correspond to this system maybe nonsummable. The effective conditions are established for each considerable problem to be uniquely solvable. Analogous problems are also considered for similar impulsive systems with small parameters.
Keywords.: Linear impulsive systems; singularities; systems with small parameters; two-point boundary value problems; Fredholm property; unique solvability
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