A Note on the Covergence of Solutions of a System of Differential Equations.
Displaying 21 – 40 of 69
A note on the semi-inverse approach to oscillation theory for ordinary second-order linear differential equations
V. Komkov (1973)
Colloquium Mathematicae
A periodic boundary value problem in Hilbert space
Boris Rudolf (1994)
Mathematica Bohemica
In the paper some existence results for periodic boundary value problems for the ordinary differential equation of the second order in a Hilbert space are given. Under some auxiliary assumptions the set of solutions is compact and connected or it is convex.
A Periodic Lotka-Volterra System
Tsvetkov, D. (1996)
Serdica Mathematical Journal
In this paper periodic time-dependent Lotka-Volterra systems are considered. It is shown that such a system has positive periodic solutions. It is done without constructive conditions over the period and the parameters.
A periodic model for the dynamics of cell volume
Philip Korman (2016)
Annales Polonici Mathematici
We prove the existence and uniqueness of a positive periodic solution for a model describing the dynamics of cell volume flux, introduced by Julio A. Hernández [Bull. Math. Biol. 69 (2007), 1631-1648]. We also show that the periodic solution is a global attractor. Our results confirm the conjectures made in an interesting recent book of P. J. Torres [Atlantis Press, 2015].
A predator-prey model with state dependent impulsive effects
Changming Ding (2014)
Annales Polonici Mathematici
We investigate a Lotka-Volterra predator-prey model with state dependent impulsive effects, in which the control strategies by releasing natural enemies and spraying pesticide at different thresholds are considered. We present some sufficient conditions to guarantee the existence and asymptotical stability of semi-trivial periodic solutions and positive periodic solutions.
A remark to the Floquet theorem for systems of linear differential equations
Jitka Laitochová (1991)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
A remarkable periodic solution of the three-body problem in the case of equal masses.
Chenciner, Alain, Montgomery, Richard (2000)
Annals of Mathematics. Second Series
A resonance problem for nonlinear Duffing equation
Pavel Drábek (1988)
Commentationes Mathematicae Universitatis Carolinae
A second look at the first result of Landesman-Lazer type.
Lazer, Alan C. (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
A simple model of thermoelectric oscillations
Giovanni Cimatti, Eduard Feireisl (1995)
Applications of Mathematics
A system of ordinary differential equations modelling an electric circuit with a thermistor is considered. Qualitative properties of solution are studied, in particular, the existence and nonexistence of time-periodic solutions (the Hopf bifurcation).
A simple proof of a semi-Fredholm principle for periodically forced systems with homogeneous nonlinearities
Jean Mawhin (1989)
Archivum Mathematicum
A stability criterion for periodic systems with first integrals
K. Peiffer (1994)
Rendiconti del Seminario Matematico della Università di Padova
A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms. I.
Kaloshin, Vadim Yu., Hunt, Brian R. (2001)
Electronic Research Announcements of the American Mathematical Society [electronic only]
A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms. II.
Kaloshin, Vadim Yu., Hunt, Brian R. (2001)
Electronic Research Announcements of the American Mathematical Society [electronic only]
A sufficient condition for the existence of multiple periodic solutions of differential inclusions
Ralf Bader (1996)
Banach Center Publications
A tight bound of modified iterative hard thresholding algorithm for compressed sensing
Jinyao Ma, Haibin Zhang, Shanshan Yang, Jiaojiao Jiang (2023)
Applications of Mathematics
We provide a theoretical study of the iterative hard thresholding with partially known support set (IHT-PKS) algorithm when used to solve the compressed sensing recovery problem. Recent work has shown that IHT-PKS performs better than the traditional IHT in reconstructing sparse or compressible signals. However, less work has been done on analyzing the performance guarantees of IHT-PKS. In this paper, we improve the current RIP-based bound of IHT-PKS algorithm from to , where is the restricted...
A Tikhonov-type theorem for abstract parabolic differential inclusions in Banach spaces
Anastasie Gudovich, Mikhail Kamenski, Paolo Nistri (2001)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
We consider a class of singularly perturbed systems of semilinear parabolic differential inclusions in infinite dimensional spaces. For such a class we prove a Tikhonov-type theorem for a suitably defined subset of the set of all solutions for ε ≥ 0, where ε is the perturbation parameter. Specifically, assuming the existence of a Lipschitz selector of the involved multivalued maps we can define a nonempty subset of the solution set of the singularly perturbed system. This subset is the set of...
A Time-dependent Biochemical System
Dimiter Petkov Tsvetkov, Svetlin Georgiev Georgiev (1997)
Matematički Vesnik
A variational approach to homoclinic orbits in Hamiltonian systems.
Vittorio Coti Zelati, Ivar Ekeland, Eric Séré (1990)
Mathematische Annalen