continuation theorem
Positive periodic solutions for nonlinear difference equations via a continuation theorem
... Here we will invoke a continuation theorem of Mawhin for obtaining such solutions. More specifically, let X and Y be two Banach spaces and L : Dom L ⊂ X → Y is a linear mapping and N : X → Y a continuous ...
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Four positive almost periodic solutions to an impulsive non-autonomous Lotka-Volterra predator-prey system with harvesting terms
... Mawhin’s continuation theorem of coincidence degree theory, the authors of [1] established the four positive periodic solutions to ...Mawhins continuation theorem of coincidence degree ...
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Positive Periodic Solutions for Neutral Delay Ratio Dependent Predator Prey Model with Holling Tanner Functional Response
... a continuation theorem based on coincidence degree theory, we establish some easily verifiable criteria for the existence of positive periodic solutions for neutral delay ratio-dependent predator-prey model ...
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Homoclinic solutions for n-dimensional prescribed mean curvature p-Laplacian equations
... Mawhin’s continuation theorem and some analysis methods, a new result on the existence of homoclinic solutions for the equation is ...Mawhin’s continuation theorem; n-dimensional; prescribed ...
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Solvability for second-order nonlocal boundary value problems with dim(kerM)=2
... Mawhin’s continuation theorem [] is an efficient tool in finding solutions for these prob- ...Mawhin’s continuation theorem from the case of linear L to the case of quasi- linear ...Mawhin’s ...
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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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Solvability of right focal boundary value problems with superlinear growth conditions
... Motivated by [], in this paper we study the solvability for general nth-order right fo- cal boundary value problems (.), (.). The existence and uniqueness of sign-changing solutions for the problems are obtained by ...
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On the existence and stability of positive periodic solution of a nonautonomous commensal symbiosis model with Michaelis-Menten type harvesting
... Though there are many scholars study the predator-prey system with the Michaelis-Menten type harvesting [35]-[37], all of them are focus on the autonomous case and none of them con- sider the non-autonomous case. We ...
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Existence of solutions for fractional differential equations with infinite point boundary conditions at resonance
... Mawhin’s continuation theorem, we establish some sufficient conditions for the existence of at least one solution for a class of fractional infinite point boundary value problem at ...
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Existence and Uniqueness of a Periodic Solution for Third-order Delay Differential Equation with Two Deviating Arguments
... using continuation theorem of co- incidence degree theory, the existence and uniqueness of periodic solutions for some types of first and second-order delay differential equations with a deviating argument ...
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Periodic solutions of semilinear wave equations with discontinuous nonlinearities
... a continuation theorem for a semilinear operator equation in a Hilbert space, where a key tool is the Berkovits-Tienari degree theory for a class of perturbations of monotone type of a densely defined closed ...
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Solvability for p-Laplacian boundary value problem at resonance on the half-line
... The existence of solutions for p-Laplacian boundary value problem at resonance on the half-line is investigated. Our analysis relies on constructing the suitable Banach space, defining appropriate operators and using the ...
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New approach for the existence and uniqueness of periodic solutions to p-Laplacian prescribed mean curvature equations
... In past decades, many authors investigated the existence of periodic solutions for p- Laplacian differential equations by using Mawhin’s continuation theorem, for more de- tails, see e.g. [–] for work on ...
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Solvability for nonlocal boundary value problems on a half line with dim(kerL)=2
... A boundary value problem is called to be a resonance one if the corresponding homo- geneous boundary value problem has a non-trivial solution. Resonance problems can be expressed as an abstract equation Lx = Nx, where L ...
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Periodic solutions of periodic generalized food limited model
... Mawhin’s continuation theorem of coincidence degree theory [2, 10]—to establish the existence of positive periodic solutions for the periodic generalized food limited ...
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New positive periodic solutions to singular Rayleigh prescribed mean curvature equations
... On this basis of work of Gaines and Mawhin [], some researchers discussed the ex- istence of periodic solutions to some types of prescribed mean curvature Rayleigh equa- tions; see [, ] and the references therein. ...
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Existence and stability of periodic solutions for a class of generalized nonautonomous neural networks with distributed delays
... The organization of this paper is as follows. In the second section, we prove the ex- istence of periodic solutions of system (1.2) by applying the continuation theorem of coincidence degree theory. In the ...
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Study on a kind of ϕ Laplacian Liénard equation with attractive and repulsive singularities
... degree theorem [, , ], topological degree methods [, ], Schauder’s fixed point theorem [], Massera’s theorem [], the Manasevich-Mawhin continuation theorem [, ], generalized ...
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Periodic Solution of a Non-autonomous Neutral Delay Two-species Competitive System
... the continuation theorem for composite coincidence degree and some techniques, a set of sufficient conditions are derived for the existence of at least one strictly positive periodic ...
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Existence and multiplicity of positive periodic solutions of ratio-dependent food chain model
... related continuation theorem, as well as some prior estimates, we investigate the existence and multiplicity of positive periodic solutions of ratio-dependent food chain model with exploited ...
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