Spectral theory and Cauchy problems on Lp spaces.
Matthias Hieber (1994)
Mathematische Zeitschrift
Desmond W. Evans (1971)
Mathematische Zeitschrift
Sahin, Mehmet, Manafov, Manaf Dzh. (2007)
Abstract and Applied Analysis
Alexander Fedotov, Frédéric Klopp (2005)
Annales scientifiques de l'École Normale Supérieure
Gal, Ciprian G. (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
G. Christol, Z. Mebkhout (1993)
Annales de l'institut Fourier
Gallouët, T. (1983/1984)
Portugaliae mathematica
T. Leżański (1974)
Studia Mathematica
R. Ž. Đorđević (1969)
Matematički Vesnik
A. Dijksma, H. S. V. de Snoo (1973)
Compositio Mathematica
Wrobel, Volker (1982)
Proceedings of the 10th Winter School on Abstract Analysis
Y. Latushkin, A. Sukhtayev (2010)
Mathematical Modelling of Natural Phenomena
This paper is related to the spectral stability of traveling wave solutions of partial differential equations. In the first part of the paper we use the Gohberg-Rouche Theorem to prove equality of the algebraic multiplicity of an isolated eigenvalue of an abstract operator on a Hilbert space, and the algebraic multiplicity of the eigenvalue of the corresponding Birman-Schwinger type operator pencil. In the second part of the paper we apply this result...
Mel'nikova, I.V. (2001)
Sibirskij Matematicheskij Zhurnal
T. N. Harutyunyan (2008)
Matematički Vesnik
Sokolov, Maksim (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
B. Przeradzki (1992)
Annales Polonici Mathematici
The existence of bounded solutions for equations x' = A(t)x + r(x,t) is proved, where the linear part is exponentially dichotomic and the nonlinear term r satisfies some weak conditions.
Ballard, Grey M., Baxley, John V. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
El-sayed Ibrahim, Sobhy (1999)
Serdica Mathematical Journal
The general ordinary quasi-differential expression M of n-th order with complex coefficients and its formal adjoint M + are considered over a regoin (a, b) on the real line, −∞ ≤ a < b ≤ ∞, on which the operator may have a finite number of singular points. By considering M over various subintervals on which singularities occur only at the ends, restrictions of the maximal operator generated by M in L2|w (a, b) which are regularly solvable with respect to the minimal operators T0 (M ) and T0...
Shestakov, A. I. (2003)
Sibirskij Matematicheskij Zhurnal
Vu Quoc Phóng (1991)
Mathematische Zeitschrift