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作者:Saroj Panigrahi , Rakhee Basu
来源:[J].Int. J. of Dynamical Systems and Differential Equations, 2016, Vol.6 (1), pp.16-35Inderscience 出版公司
摘要:In this paper, the authors investigated the oscillatory and asymptotic behaviour of solution of a class of nonlinear higher order neutral differential equations with positive and negative coefficients. We have established a new conditions which guarantees that every solutions eit...
作者:M.L. Morgado
来源:[J].Int. J. of Dynamical Systems and Differential Equations, 2016, Vol.6 (2), pp.117-128Inderscience 出版公司
摘要:A Chebyshev collocation method is derived for the numerical approximation of distributed order differential equations in the Caputo sense. The numerical scheme is valid for both initial and boundary value problems. An error analysis is provided and illustrated through some numeri...
作者:Hussain Ibdah , Suheil A. Khuri , Ali Sayfy
来源:[J].Int. J. of Dynamical Systems and Differential Equations, 2016, Vol.6 (2), pp.101-116Inderscience 出版公司
摘要:A B-spline collocation approach is presented for the numerical solution of a business cycle model with a small gestation period in production. The differential equation that models the problem comprises of a nonlinearity that can arise either from the dependence of investment on ...
作者:Xinli Zhang
来源:[J].Int. J. of Dynamical Systems and Differential Equations, 2016, Vol.6 (1), pp.87-100Inderscience 出版公司
摘要:In this paper, we study the existence of positive solutions of ∞-point boundary value problems of nonlinear second-order differential equations by constructing a special set and utilising fixed point theory. We improved and generalised the result of related paper.
作者:Arun Kumar Tripathy , Bharati Panda
来源:[J].Int. J. of Dynamical Systems and Differential Equations, 2016, Vol.6 (2), pp.147-160Inderscience 出版公司
摘要:This work is concerned with the study of oscillation of a class of fourth-order neutral differential equations with unbounded delay. Sufficient conditions are obtained for oscillation and they are classified as C −1 , C 0 a...
作者:Gennadii V. Demidenko
来源:[J].Int. J. of Dynamical Systems and Differential Equations, 2016, Vol.6 (1), pp.63-74Inderscience 出版公司
摘要:We establish new conditions for exponential dichotomy of systems of linear differential equations with periodic coefficients. The conditions are formulated in terms of solvability of a special boundary value problem for the Lyapunov differential equation. Estimates for the dichot...
作者:K. Shiva Reddy , M.N. Srinivas , A. Sabarmathi ...
来源:[J].Int. J. of Dynamical Systems and Differential Equations, 2016, Vol.6 (1), pp.36-62Inderscience 出版公司
摘要:In the present study, we consider a two-dimensional nonlinear prey-predator model with harvesting on both the species and specifically with the mortality rate of the predator species. The purpose of this work is to offer mathematical analysis of the model and to discuss some of t...
作者:J. El Karkri , K. Niri
来源:[J].Int. J. of Dynamical Systems and Differential Equations, 2016, Vol.6 (2), pp.173-185Inderscience 出版公司
摘要:In this paper, we investigate global stability of the endemic steady state of the SIS epidemic model studied recently in terms of fluctuations. The epidemiological model has an exponential demographic structure, disease-related deaths and a delay corresponding to the infectious p...
作者:Valery A. Gaiko
来源:[J].Int. J. of Dynamical Systems and Differential Equations, 2016, Vol.6 (2), pp.161-172Inderscience 出版公司
摘要:We complete the global qualitative analysis of a quartic family of planar vector fields corresponding to a rational Holling-type dynamical system, which models the dynamics of the populations of predators and their prey in a given ecological or biomedical system.
作者:Adama Ouedraogo
来源:[J].Int. J. of Dynamical Systems and Differential Equations, 2016, Vol.6 (1), pp.75-86Inderscience 出版公司
摘要:Our purpose is to explicit the assumptions of a technical and fundamental lemma which has been used in many works as a main tool to get the uniqueness of solutions for some nonlinear and degenerate parabolic problems. In our investigation, we hope to generalise this result i...

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