Now showing items 1-10 of 242
New trends on nonlinear dynamics and its applications [Article]
(American Institute of Mathematical Sciences, 2015-12)
This paper is the Preface of a special issue devoted to Nonlinear Dynamics and Complexity generated by the contributions of participants at the conference NDC 2015, La Manga, Spain (http://ndc.lhscientificpublishing.com) ...
Semi-Kolmogorov models for predation with indirect effects in random environments [Article]
(American Institute of Mathematical Sciences, 2016-09)
In this work we study semi-Kolmogorov models for predation with both the carrying capacities and the indirect effects varying with respect to randomly fluctuating environments. In particular, we consider one random ...
Impulsive surfaces on dynamical systems [Article]
This work is devoted to the construction of impulsive sets in Rn. In the literature, there are many examples of impulsive dynamical systems whose impulsive sets are chosen in an abstract way, and in this paper we present ...
Non-autonomous dynamics of a semi-Kolmogorov population model with periodic forcing [Article]
In this paper we study a semi-Kolmogorov type of population model, arising from a predator-prey system with indirect effects. In particular we are interested in investigating the population dynamics when the indirect ...
Impulsive stochastic functional differential inclusions driven by a fractional Brownian motion with infinite delay [Article]
In this paper, we prove the existence of mild solutions for the following first-order impulsive semilinear stochastic functional differential inclusions driven by a fractional Brownian motion with infinite delay in the ...
Existence and stability results for semilinear systems of impulsive stochastic differential equations with fractional Brownian motion [Article]
(Taylor & Francis, 2016)
Some results on the existence and uniqueness of mild solution for a system of semilinear impulsive differential equations with infinite fractional Brownian motions are proved. The approach is based on Perov’s fixed point ...
Impulsive neutral functional differential equations driven by a fractional Brownian motion with unbounded delay [Article]
(Taylor & Francis, 2016)
In this paper, we prove the local and global existence and attractivity of mild solutions for stochastic impulsive neutral functional differential equations with infinite delay, driven by fractional Brownian motion.
Comparison of the long-time behaviour of linear Ito and Stratonovich partial differential equations [Article]
In this paper, we point out the different long-time behaviour of stochastic partial differential equations when one considers the stochastic term in the Ito or Stratonovich sense. In particular, we prove that the Stratonovich ...
Exponential behavior of solutions to stochastic integrodifferential equations with distributed delays [Article]
(Taylor & Francis Inc., 2015)
In this work, we study the existence, uniqueness, and exponential asymptotic behavior of mild solutions to stochastic integrodifferential delay evolution equations. We assume that the non-delay part generates a C0-semigroup.