Coincidence Degree
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 ...
11
Study of a class of arbitrary order differential equations by a coincidence degree method
... Section is concerned with some background material and lemmas required for the main results. In Section , the problem under consideration of FDEs is transformed to its equivalent Fredholm integral equation. Then the ...
14
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 solutions ...
13
Permanence, Almost Periodic Oscillations and Stability of Delayed Predator-Prey System with General Functional Response
... of coincidence degree theory is an important method to investigate the existence of positive periodic solutions of some kinds of non-linear ecosystems (see ...of coincidence degree ...
10
Multiple positive periodic solutions for a food limited two species Gilpin Ayala competition patch system with periodic harvesting terms
... To our knowledge, few papers have been published on the existence of multiple positive periodic solutions for Gilpin-Ayala type competition patch models. Motivated by the work of Chen [], we study the existence of ...
17
Existence and Stability of Antiperiodic Solution for a Class of Generalized Neural Networks with Impulses and Arbitrary Delays on Time Scales
... the coincidence degree theory, and the Lyapunov functional method, we obtain sufficient conditions for the existence and global exponential stability of anti-periodic solutions for a class of generalized ...
19
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 with ...
6
Positive Periodic Solutions for Neutral Delay Ratio Dependent Predator Prey Model with Holling Tanner Functional Response
... of coincidence degree theory, we have established sufficient conditions for the existence of positive periodic solutions to a neutral delay ratio-dependent predator-prey model with Holling-Tanner functional ...
15
Four positive almost periodic solutions to an impulsive non-autonomous Lotka-Volterra predator-prey system with harvesting terms
... of coincidence degree theory and some analytical approaches, we establish the existence of four positive almost periodic solutions for an impulsive non-autonomous two species almost periodic Lotka-Volterra ...
19
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] ...
9
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 ...
16
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 solution ...
5
On the existence of positive periodic solution of a amensalism model with Holling II functional response
... Mawhin’s coincidence degree, a set of easily verified sufficient conditions which guarantee the global existence of positive periodic solutions of above system is ...
12
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 ...
6
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 ...
11
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] ...
20
Multiple solutions of three-point boundary value problems for second-order impulsive differential equation at resonance
... the coincidence degree theory and the upper and lower solutions method, we deal with the existence of multiple solutions to three-point boundary value problems for second-order differential equation with ...
17
Dynamics of Almost Periodic Mutualism Model with Time Delays
... of coincidence degree theory, some new sufficient conditions for the existence of positive almost periodic solutions to a mutualism model with bounded and unbounded delays are ...
9
Conjugate boundary value problems with functional boundary conditions at resonance
... the coincidence degree theory of Mawhin, we study the existence of solutions for conjugate boundary value problems with functional boundary conditions at resonance with dim Ker L = ...
11
Periodic Solution of a Non-autonomous Neutral Delay Two-species Competitive System
... composite coincidence degree and some techniques, a set of sufficient conditions are derived for the existence of at least one strictly positive periodic ...
6