Results 41 to 50 of about 254 (65)

On mountain pass theorem and its application to periodic solutions of some nonlinear discrete systems

open access: yes, 2018
We obtain a new quantitative deformation lemma, and then gain a new mountain pass theorem. More precisely, the new mountain pass theorem is independent of the functional value on the boundary of the mountain, which improves the well known results (\cite ...
Ding, Liang   +2 more
core   +1 more source

Positive periodic solutions of nonautonomous functional differential equations depending on a parameter

open access: yes, 2002
Abstract and Applied Analysis, Volume 7, Issue 5, Page 279-286, 2002.
Guang Zhang, Sui Sun Cheng
wiley   +1 more source

Existence of positive periodic solutions for fourth-order nonlinear neutral differential equations with variable delay

open access: yesAdvances in Nonlinear Analysis, 2014
In this article we study the existence of positive periodic solutions for a fourth-order nonlinear neutral differential equation with variable delay.
Ardjouni Abdelouaheb   +2 more
doaj   +1 more source

Multiple periodic solutions to a class of nonautonomous second-order delay differential equation

open access: yesBoundary Value Problems, 2013
The existence of the nontrivial periodic solutions for nonautonomous second-order delay differential equation x″(t)+λx(t)=−f(t,x(t),x(t−τ)) is investigated, where λ>π2/τ2, τ>0, f∈C1(R×R2,R).
Qiong Meng, Xiaosheng Zhang
semanticscholar   +2 more sources

Forced Fermi-Pasta-Ulam lattice maps

open access: yes, 2013
We prove existence and uniqueness results for periodic and quasiperiodic travelling waves of Fermi-Pasta-Ulam (FPU) type lattice maps. We also study quasiperiodic solutions of difference equations on Banach algebras as a natural generalizations of the ...
J. Diblík, Michal Feckan, M. Pospíšil
semanticscholar   +1 more source

Infinitely many periodic solutions for a class of fractional Kirchhoff problems

open access: yes, 2019
We prove the existence of infinitely many nontrivial weak periodic solutions for a class of fractional Kirchhoff problems driven by a relativistic Schr\"odinger operator with periodic boundary conditions and involving different types of ...
Ambrosio, Vincenzo
core   +1 more source

Global exponential stability of nonautonomous neural network models with continuous distributed delays [PDF]

open access: yes, 2013
For a family of non-autonomous differential equations with distributed delays, we give sufficient conditions for the global exponential stability of an equilibrium point. This family includes most of the delayed models of neural networks of Hopfield type,
Baldi   +23 more
core   +2 more sources

On the stability of periodic orbits in delay equations with large delay [PDF]

open access: yes, 2011
We prove a necessary and sufficient criterion for the exponential stability of periodic solutions of delay differential equations with large delay. We show that for sufficiently large delay the Floquet spectrum near criticality is characterized by a set ...
A. L. Skubachevskii   +20 more
core   +3 more sources

The dynamical analysis of a nonlocal predator–prey model with cannibalism

open access: yesEuropean Journal of Applied Mathematics
Cannibalism is often an extreme interaction in the animal species to quell competition for limited resources. To model this critical factor, we improve the predator–prey model with nonlocal competition effect by incorporating the cannibalism term, and ...
Daifeng Duan   +3 more
doaj   +1 more source

Existence of solutions and stability for impulsive neutral stochastic functional differential equations [PDF]

open access: yes, 2019
In this paper we prove some results on the existence of solutions and the mean square asymptotic stability for a class of impulsive neutral stochastic differential systems with variable delays by using a contraction mapping principle.
Benhadri, Mimia   +2 more
core   +1 more source

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