Evolution operators related to semi-groups of class (A).
N. Sauer, J.E. Singleton (1986/1987)
Semigroup forum
Leiva, Hugo (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Rózsa, Zoltán, Tóth, János (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Paolo Acquistapace, Brunello Terreni (1982)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Si studiano esistenza, unicità e regolarità delle soluzioni strette, classiche e forti dell’equazione di evoluzione non autonoma , con il dato iniziale , in spazi di Banach. I dominii degli operatori variano in e non sono necessariamente densi in . Si danno condizioni necessarie e sufficienti per l'esistenza e la regolarità holderiana della soluzione e della sua derivata.
Ivan Straškraba (1982)
Czechoslovak Mathematical Journal
Ibrahim, Rabha W. (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Papageorgiou, Nikolaos S. (1991)
Commentationes Mathematicae Universitatis Carolinae
Jan Bochenek (1997)
Annales Polonici Mathematici
We give sufficient conditions for the existence of the fundamental solution of a second order evolution equation. The proof is based on stable approximations of an operator A(t) by a sequence of bounded operators.
Clark, Marcondes Rodrigues (1994)
International Journal of Mathematics and Mathematical Sciences
Hernández M., Eduardo, Pelicer, Mauricio L. (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
John W. Lee, Donal O'Regan (1993)
Commentationes Mathematicae Universitatis Carolinae
This paper presents existence results for initial and boundary value problems for nonlinear differential equations in Banach spaces.
Papageorgiou, Nikolaos S. (1986)
International Journal of Mathematics and Mathematical Sciences
Michał Kisielewicz (1989)
Annales Polonici Mathematici
Lucas Jódar, Enrique A. Navarro (1991)
Applications of Mathematics
Cauchy problem, boundary value problems with a boundary value condition and Sturm-Liouville problems related to the operator differential equation are studied for the general case, even when the algebraic equation is unsolvable. Explicit expressions for the solutions in terms of data problem are given and computable expressions of the solutions for the finite-dimensional case are made available.
Sasu, Adina Luminiţa (2006)
Abstract and Applied Analysis
Petre Preda, Mihail Megan (1985)
Czechoslovak Mathematical Journal
Kalabušić, Senada, Vajzović, Fikret (2003)
Novi Sad Journal of Mathematics
Michael Gil' (2023)
Czechoslovak Mathematical Journal
We consider the equation , where is the generator of an analytic semigroup on a Banach space , is a variable bounded operator in . It is assumed...
Gavrilyuk, I., Makarov, V. (2001)
Computational Methods in Applied Mathematics
Daniel Bertrand (1983/1984)
Groupe de travail d'analyse ultramétrique