Solvability of a semilinear boundary value problem with respect to the first eigenvalue. (Solvabilité d'un problem aux limites semi-linéaire autour de la première valeur propre.)
El Amrouss, A.R., Moussaoui, M. (1997)
Bulletin of the Belgian Mathematical Society - Simon Stevin
Wolfgang Alte (1977/1978)
Manuscripta mathematica
Vittorio Coti Zelati, Enrico Serra (1992)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
We present some regularity properties of periodic solutions to a class of singular potential problems and we discuss the existence of a regular solution.
Tadeusz Dłotko (1995)
Acta Mathematica et Informatica Universitatis Ostraviensis
Sylvia Novo, Jesús Rojo (1992)
Numerische Mathematik
Jean Mawhin (1994)
Acta Mathematica et Informatica Universitatis Ostraviensis
Andrzej Pelczar (1989)
Banach Center Publications
L. Erbe (1975)
Annales Polonici Mathematici
A. T. ADEMOLA, M. O. OGUNDIRAN, P. O. ARAWOMO (2015)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
In this paper, criteria are established for uniform stability, uniform ultimate boundedness and existence of periodic solutions for third order nonlinear ordinary differential equations. In the investigation Lyapunov’s second method is used by constructing a complete Lyapunov function to obtain our results. The results obtained in this investigation complement and extend many existing results in the literature.
Saleh, Daad Abou (2005)
Portugaliae Mathematica. Nova Série
Lian, Jin-Guo (2009)
Applied Mathematics E-Notes [electronic only]
T. Dhirasakdanon, H. R. Thieme (2010)
Mathematical Modelling of Natural Phenomena
For an SI type endemic model with one host and two parasite strains, we study the stability of the endemic coexistence equilibrium, where the host and both parasite strains are present. Our model, which is a system of three ordinary differential equations, assumes complete cross-protection between the parasite strains and reduced fertility and increased mortality of infected hosts. It also assumes that one parasite strain is exclusively vertically...
Fischer, Cyril, Náprstek, Jiří (2019)
Programs and Algorithms of Numerical Mathematics
The Lyapunov exponents (LE) provide a simple numerical measure of the sensitive dependence of the dynamical system on initial conditions. The positive LE in dissipative systems is often regarded as an indicator of the occurrence of deterministic chaos. However, the values of LE can also help to assess stability of particular solution branches of dynamical systems. The contribution brings a short review of two methods for estimation of the largest LE from discrete data series. Two methods are analysed...
Rahmi Ibrahim Ibrahim Abdel Karim (1968)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica-Physica-Chemica
Sebastian Burciu (2013)
Czechoslovak Mathematical Journal
This paper gives necessary and sufficient conditions for subgroups with trivial core to be of odd depth. We show that a subgroup with trivial core is an odd depth subgroup if and only if certain induced modules from it are faithful. Algebraically this gives a combinatorial condition that has to be satisfied by the subgroups with trivial core in order to be subgroups of a given odd depth. The condition can be expressed as a certain matrix with -entries to have maximal rank. The entries of the matrix...
Gabriella Tarantello (1988)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Najeh Kallel, Mohsen Timoumi (2004)
RAIRO - Operations Research - Recherche Opérationnelle
In this paper we study the existence of subharmonic solutions of the hamiltonian systemwhere is a linear map, is a -function and is a continuous function.
Najeh Kallel, Mohsen Timoumi (2010)
RAIRO - Operations Research
In this paper we study the existence of subharmonic solutions of the Hamiltonian system where u is a linear map, G is a C1-function and e is a continuous function.
Patricio L. Felmer (1990)
Manuscripta mathematica
Cui, Jingan, Song, Xinyu (2004)
International Journal of Mathematics and Mathematical Sciences