Coincidence Degree Theory
Periodic solutions for complex valued neural networks of neutral type by combining graph theory with coincidence degree theory
... of coincidence degree theory with graph theory as well as Lyapunov functional is introduced to study the existence and exponential stability of periodic solutions for delayed complex- valued ...
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The existence of almost periodic solution: via coincidence degree theory
... topological degree and novel estimation techniques for the a priori bounds of unknown solutions for Lx = λ ...topological degree theory was never employed to study the almost periodic differential ...
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Dynamics of Almost Periodic Mutualism Model with Time Delays
... of coincidence degree theory is an important method to investigate the existence of positive periodic solutions of some kinds of non-linear ecosystems (see ...
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Multiple solutions of three-point boundary value problems for second-order impulsive differential equation at resonance
... the coincidence degree theory of Mawhin [] and some linear or non-linear growth assumptions on f , Feng and Webb obtained the existence of the solution of the problem ...
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Study of a class of arbitrary order differential equations by a coincidence degree method
... Existence theory of solutions or positive solutions to multi-points boundary value problems using different types of fixed point theorems like as Banach theorem of contraction type, Schaefer and Leray-Schauder ...
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Existence and Uniqueness of a Periodic Solution for Third-order Delay Differential Equation with Two Deviating Arguments
... T O our knowledge, most exciting results on the existence of periodic solutions of delay differential equations are usually obtained by the technique of bifurcation, by fixed- point theorems or by coincidence ...
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Positive Periodic Solution for a Two Species Predator Prey System
... By using a continuation theorem based on coincidence degree theory, we obtain some sufficient conditions for the existence of periodic solution for the system... Keywords Predator-Prey S[r] ...
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Multiple Almost Periodic Solutions and Local Asymptotical Stability in a Harvesting System of Facultative Mutualism with Time Delays
... systems under the general formalism of competition and cooperation [15-17]). In [5], some sufficient conditions are derived for the existence and globally asymptotic stability of positive periodic solutions of system (1) ...
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Four positive almost periodic solutions to an impulsive non-autonomous Lotka-Volterra predator-prey system with harvesting terms
... of coincidence degree theory, the authors of [1] established the four positive periodic solutions to ...of coincidence degree ...
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Permanence, Almost Periodic Oscillations and Stability of Delayed Predator-Prey System with General Functional Response
... In this paper we have obtained the uniform permanence and existence of a positive almost periodic solution for a delayed predator-prey system with general functional re- sponse. The approach is based on the continuation ...
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Existence of solutions for a coupled system of fractional differential equations at resonance
... In this paper, by using the coincidence degree theory, we study the existence of solutions for a coupled system of fractional differential equations at resonance. A new result on the existence of ...
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Impulsive Predator Prey Dynamic Systems with Beddington DeAngelis Type Functional Response on the Unification of Discrete and Continuous Systems
... In this study, the impulsive predator-prey dynamic systems on time scales calculus are studied. When the system has periodic solution is investigated, and three different conditions have been found, which are necessary ...
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Multiple positive periodic solutions for a food limited two species Gilpin Ayala competition patch system with periodic harvesting terms
... In the past years, the study of population dynamics with harvesting in mathematical bioe- conomics, due to its theoretical and practical significance in the optimal management of renewable resources, has attracted much ...
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Almost Periodic Solutions for Lasota-Wazewska Model with Multiple Delays
... of coincidence degree theory, some new and simple sufficient conditions are obtained for the existence of at least one positive almost periodic solution for a class of delayed Lasota-Wazewska model ...
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Condition for Existence of Positive Periodic Solution of Hepatitis B Virus Infection Model with Immune Response
... This paper considers a hepatitis B virus infection model with the immune response. By using the coincidence degree theory, we obtain a condition that ensures the existence of one positive periodic ...
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Study on a kind of neutral Rayleigh equation with singularity
... including coincidence degree theory [–], the method of upper and lower solutions [], the Manásevich-Mawhin continuation theorem [–], and the time map continuation theorem ...
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Solvability of a third-order differential equation with functional boundary conditions at resonance
... By using the coincidence degree theory due to Mawhin and constructing suitable operators, we study the existence of solutions for a third-order functional boundary value problem at reson[r] ...
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Solvability for Two Classes of Higher-Order Multi-Point Boundary Value Problems at Resonance
... The purpose of this paper is to study the existence of solutions for BVP 1.1, 1.2 and BVP 1.1, 1.3 at resonance case, and establish some existence theorems under nonlinear growth restriction of f. The boundary value ...
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Solvability for a coupled system of fractional differential equations with impulses at resonance
... where < α, β ≤ . With the help of the coincidence degree theory, many existence results have been given in the above literatures. It is worth mentioning that the orders of derivative in the ...
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Periodic solutions of periodic generalized food limited model
... where K,r ,c are continuous positive ω-periodic functions, m is a positive integer. Also, since as it was indicated by Freedman and Wu [1] that it would be of interesting to study the existence of periodic solutions for ...
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