This paper is concerned with the oscillatory behavior of the fourth-order nonlinear differential equation (E) (p(t)|x| x)′′ + q(t)|x|x = 0 , where α > 0, β > 0 are constants and p, q : [a,∞) → (0,∞) are continuous functions satisfying conditions

Model-reference adaptive control with neurofuzzy methodology is derived in this paper. Associate memory network(AMN) is investigated in detail to be the possible implementation as the direct self-tuning nonlinear controller. The essence of the neurofuzzy controller has been discussed and the local stability of the system is reached. The performance of the model-reference adaptive neurofuzzy con...

The Cournot duopoly game modeled by Kopel, with adaptive expectations, is generalized by introducing the self-diffusion and cross-diffusion terms. General properties, such as boundedness and uniqueness, are obtained. Non-linear stability results are reached by the analysis of the stability of a ODE system. & 2013 Elsevier Ltd. All rights reserved.

We prove oscillation theorems for the nonlinear delay differential equation

Our aim in this paper is to present criteria for oscillation of the nonlinear differential equation u′′(t) + p(t)f `

This paper deals with oscillation criteria for even order nonlinear neutral mixed type differential equations of the form

We study light-beam propagation in a nonlinear coupler with an asymmetric double-channel waveguide and derive various analytical forms of optical modes. The results show that the symmetry-preserving modes in a symmetric double-channel waveguide are deformed due to the asymmetry of the two-channel waveguide, yet such a coupler supports the symmetry-breaking modes. The dispersion relations reveal...