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here are two fundamental concepts in deter ministic dynamical systems: fixed point (equilibr ium point) and per iodic solutions. For stochastic dynamical systems, they correspond to fundamental ideas...
We study a class of nonlinear pricing models which involves the feedback effect from the dynamic hedging strategies on the price of asset introduced by Sircar and Papanicolaou. We are first to study t...
We demonstrate that all exact solutions of the Riccati equation by Dai andWang [C.-Q. Dai, Y.-Y.Wang, Phys. Lett. A 373 (2009) 181-187] are not new and cannot be new because the general solution of th...
In this paper, we discuss the existence of almost periodic solutions for a class of nonlinear Duffing equations. Some new theorems are established to ensure that the existence of almost periodic sol...
In this paper, we establish existence, multiplicity and nonexistence of periodic solutions for a class of first-order n-dimensional neutral functional differential equations. Our results improve the ...
In this paper, by using the critical point theory, some sufficient conditions for the existence and multiplicity of periodic and subharmonic solutions to a class of second order functional differenc...
We consider an initial-boundary problem for a fourth order nonlinear parabolic equation. The problem as a model arises in epitaxial growth of nanoscale thin films. Relying on some necessary uniform ...
In this work, we investigate the existence and uniqueness of an almost automorphic solution for some dissipative ordinary and functional differential equations in Banach spaces. We prove the existen...
We consider the (p;n − p) right focal boundary value problem. A new set of upper and lower estimates of positive solutions for the boundary value problem are obtained. These estimates im...
In this paper, we consider the common solutions of a pair of differential equations and give some of their applications in the uniqueness problem of entire functions.
In this paper, we establish the existence, multiplicity and nonexistence of periodic solutions for a class of first-order neutral functional differential equations. Our results improve the previous ...
This paper deals with the blow-up of positive solutions of a quasilinear parabolic equation subject to mixed boundary conditions. The blow-up of the solutions in a finite time is proved by the maxim...

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