Results 71 to 80 of about 334 (177)
Periodic solutions for a system of totally nonlinear dynamic equations on time scale
Let T be a periodic time scale. We use a reformulated version of Krasnoselskii’s fixed point theorem to show that the system of nonlinear neutral dynamic equation with delay x .t/D A.t/H.x .t//C .Q.t;x.t r.t///// CG t;x.t/;x.t r.t// ; t 2 T ; has ...
E. Yankson
semanticscholar +1 more source
Normal forms of piecewise-smooth monodromic systems
Normal form is an important tool in the study of bifurcations but, unlike those for smooth differential systems, normal forms for piecewise-smooth systems have difficulty with the near-identity transformation, which is constructed piecewise but needs to ...
Li Jiahao, Chen Xingwu, Zhang Weinian
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Stability analysis of second-order differential systems with Erlang distribution random impulses
Differential systems with random impulses are a new kind of mathematical models. In this paper, we put forward a model of second-order impulsive differential systems with Erlang distribution random impulses.
Shuorui Zhang, Jitao Sun
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Generic polynomial vector fields are not integrable *
We study some generic aspects of polynomial vector fields or polynomial derivations with respect to their integration. In particular, using a well-suited presentation of Darboux polynomials at some Darboux point as power series in local Darboux ...
Andrzej J Maciejewski +2 more
core
Higher-order impulsive coupled systems with ϕ-Laplacian and generalized jump conditions
This work contains a general theory for coupled systems, with regular and singular semi-linear fully differential equations of higher order, with the possibility of equations of different order and generalized impulsive effects, depending on both ...
Minhós Feliz, Rodrigues Gracino
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Dynamic ecological system measures
The system decomposition theory has recently been developed for the dynamic analysis of nonlinear compartmental systems. The application of this theory to the ecosystem analysis has also been introduced in a separate article.
Huseyin Coskun
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Effective solution of nonlinear DAEs problems using Taylor series method
Most methods for solving ordinary differential equations use a limited order to calculate the results. The higher-order method based on the Taylor series presented in this article can use as many terms of the Taylor series as necessary to obtain a stable
Veigend Petr +2 more
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A Study on Iterative Solution of Population Dynamics Models
In this paper, simple approximate solutions of differential equations pertaining to population dynamics are obtained using iterative method. When the order of approximation tends to infinity, the solutions obtained converge towards an exact solution in ...
Ganeswara Rao +3 more
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Langevin equation in terms of conformable differential operators
In this paper, we establish sufficient criteria for the existence of solutions for a new kind of nonlinear Langevin equation involving conformable differential operators of different orders and equipped with integral boundary conditions.
Ahmad Bashir +3 more
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This study presents a numerical matrix collocation method for solving Bratu equations, Riccati equations, and high-order linear/nonlinear differential equations with delay variables—all of which hold significant importance in the literature ...
Baykuş Savaşaneril, Nurcan +1 more
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