On a nonlocal Cauchy problem for differential inclusions.
Gatsori, E., Ntouyas, S.K., Sficas, Y.G. (2004)
Abstract and Applied Analysis
Zuomao Yan (2011)
Annales Polonici Mathematici
This paper investigates a class of fractional functional integrodifferential inclusions with nonlocal conditions in Banach spaces. The existence of mild solutions of these inclusions is determined under mixed continuity and Carathéodory conditions by using strongly continuous operator semigroups and Bohnenblust-Karlin's fixed point theorem.
Liu, Kaiyuan, Chen, Lansun (2008)
Discrete Dynamics in Nature and Society
Cellina, Arrigo, Perrotta, Stefania (1995)
Journal of Convex Analysis
Po Fang Hsieh (1974)
Archivum Mathematicum
Cernea, Aurelian (2007)
Applied Mathematics E-Notes [electronic only]
Staněk, Svatoslav (1983)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Staněk, Svatoslav (1982)
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika
Kekelia, N. (1997)
Memoirs on Differential Equations and Mathematical Physics
Zbigniew Grande (1993)
Mathematica Slovaca
Gerd Herzog (1998)
Colloquium Mathematicae
We prove that the initial value problem x’(t) = f(t,x(t)), is uniquely solvable in certain ordered Banach spaces if f is quasimonotone increasing with respect to x and f satisfies a one-sided Lipschitz condition with respect to a certain convex functional.
Soumia Saïdi, Mustapha Fateh Yarou (2015)
Annales Polonici Mathematici
On an infinite-dimensional Hilbert space, we establish the existence of solutions for some evolution problems associated with time-dependent subdifferential operators whose perturbations are Carathéodory single-valued maps.
Staněk, Svatoslav (1987)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
George N. Galanis (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Tigran N. Harutyunyan (2009)
Matematički Vesnik
Valter Šeda (1986)
Archivum Mathematicum
Irena Rachůnková (1975)
Časopis pro pěstování matematiky
Henryk Żołądek (1995)
Studia Mathematica
We give a new proof of Jouanolou’s theorem about non-existence of algebraic solutions to the system . We also present some generalizations of the results of Darboux and Jouanolou about algebraic Pfaff forms with algebraic solutions.
Rutherford Aris, Gianni Astarita (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Theory of chemical reactions in complex mixtures exhibits the following problem. Single reacting species follow an intrinsic kinetic law. However, the observable quantity, which is a mean of individual concentrations, follows a different law. This one is called «alias» of intrinsic kinetics. In this paper the phenomenon of alias of uniform families of differential equations is discussed in general terms.
Dariusz Bugajewski, Adam Nawrocki (2025)
Czechoslovak Mathematical Journal
We investigate some properties of the normed space of almost periodic functions which are defined via the Denjoy-Perron (or equivalently, Henstock-Kurzweil) integral. In particular, we prove that this space is barrelled while it is not complete. We also prove that a linear differential equation with the non-homogenous term being an almost periodic function of such type, possesses a solution in the class under consideration.