共查询到20条相似文献,搜索用时 15 毫秒
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V. V. Filippov 《Mathematical Notes》1997,61(5):644-656
An apparatus for proving existence theorems for periodic solutions of equations with discontinuous right-hand side and differential
inclusions is developed.
Translated fromMatematischeskie Zametki, Vol. 61, No. 5, pp. 769–784, May, 1997.
Translated by V. N. Dubrovsky 相似文献
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Nikolaos S. Papageorgiou Francesca Papalini Francesca Renzacci 《Rendiconti del Circolo Matematico di Palermo》1999,48(2):341-364
In this paper we consider nonlinear-dependent systems with multivalued perturbations in the framework of an evolution triple
of spaces. First we prove a surjectivity result for generalized pseudomonotone operators and then we establish two existence
theorems: the first for a periodic problem and the second for a Cauchy problem. As applications we work out in detail a periodic
nonlinear parabolic partial differential equation and an optimal control problem for a system driven by a nonlinear parabolic
equation. 相似文献
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The variational method is used to obtain some existence theorems of periodic solutions of sublinear systems with or not with impacts under suitable growth conditions. Compared with normal systems, impact systems need additional conditions to ensure the existence of periodic bouncing solutions. 相似文献
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《Journal of Computational and Applied Mathematics》2005,181(2):235-244
In this paper, a planar system reduced from a neuronic equation is investigated. By using the qualitative analysis method of ordinary differential equations, we obtain conditions for the existence of a unique limit cycle surrounding a singular point and one or two limit cycles simultaneously surrounding three singular points. 相似文献
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An SEIR model with periodic coefficients in epidemiology is considered. The global existence of periodic solutions with strictly positive components for this model is established by using the method of coincidence degree. Furthermore, a sufficient condition for the global stability of this model is obtained. An example based on the transmission of respiratory syncytial virus (RSV) is included. 相似文献
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By using Mawhin's continuation theorem of coincidence degree theory, sufficient criteria are obtained for the existence of periodic solutions of the mutualism model
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Wei Gengping~ Shen Jianhua~ 《高校应用数学学报(英文版)》2006,21(3):320-326
This paper studies the nonautonomous nonlinear system of difference equationsΔx(n)=A(n)x(n)+f(n,x(n)),n∈Z,(*) where x(n)∈R~N,A(n)=(a_(ij)(n))N×N is an N×N matrix,with a-(ij)∈C(R,R) for i,j= 1,2,3,...,N,and f=(f_1,f_2,...,f_N)~T∈C(R×R~N,R~N),satisfying A(t+ω)=A(t),f(t+ω,z)=f(t,z) for any t∈R,(t,z)∈R×R~N andωis a positive integer.Sufficient conditions for the existence ofω-periodic solutions to equations (*) are obtained. 相似文献
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By means of the Cauchy matrix, we give sufficient conditions for the existence and exponential stability of almost periodic solutions and periodic solutions for the delay impulsive logarithmic population. 相似文献
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Christopher C. Tisdell 《Journal of Mathematical Analysis and Applications》2006,323(2):1325-1332
This article investigates the existence of solutions to boundary value problems (BVPs) involving systems of first-order ordinary differential equations and two-point, periodic boundary conditions. The methods involve novel differential inequalities and fixed-point theory to yield new theorems guaranteeing the existence of at least one solution. 相似文献