Displaying 421 – 440 of 930

Showing per page

Nonoscillation and asymptotic behaviour for third order nonlinear differential equations

Aydın Tiryaki, A. Okay Çelebi (1998)

Czechoslovak Mathematical Journal

In this paper we consider the equation y ' ' ' + q ( t ) y ' α + p ( t ) h ( y ) = 0 , where p , q are real valued continuous functions on [ 0 , ) such that q ( t ) 0 , p ( t ) 0 and h ( y ) is continuous in ( - , ) such that h ( y ) y > 0 for y 0 . We obtain sufficient conditions for solutions of the considered equation to be nonoscillatory. Furthermore, the asymptotic behaviour of these nonoscillatory solutions is studied.

Novel method for generalized stability analysis of nonlinear impulsive evolution equations

JinRong Wang, Yong Zhou, Wei Wei (2012)

Kybernetika

In this paper, we discuss some generalized stability of solutions to a class of nonlinear impulsive evolution equations in the certain piecewise essentially bounded functions space. Firstly, stabilization of solutions to nonlinear impulsive evolution equations are studied by means of fixed point methods at an appropriate decay rate. Secondly, stable manifolds for the associated singular perturbation problems with impulses are compared with each other. Finally, an example on initial boundary value...

Nutrient-phytoplankton-zooplankton interaction with variable yields

Joydeb Bhattacharyya, Samares Pal (2013)

Applicationes Mathematicae

A three dimensional predator-prey-resource model is proposed and analyzed to study the dynamics of the system with resource-dependent yields of the organisms. Our analysis leads to different thresholds in terms of the model parameters acting as conditions under which the organisms associated with the system cannot thrive even in the absence of predation. Local stability of the system is obtained in the absence of one or more of the predators and in the presence of all the predators. Under appropriate...

Observer-based adaptive sliding mode fault-tolerant control for the underactuated space robot with joint actuator gain faults

Ronghua Lei, Li Chen (2021)

Kybernetika

An adaptive sliding mode fault-tolerant controller based on fault observer is proposed for the space robots with joint actuator gain faults. Firstly, the dynamic model of the underactuated space robot is deduced combining conservation law of linear momentum with Lagrange method. Then, the dynamic model of the manipulator joints is obtained by using the mathematical operation of the block matrices, hence the measurement of the angular acceleration of the base attitude can be omitted. Subsequently,...

Currently displaying 421 – 440 of 930