Upper and Lower Solutions
The method of upper and lower solutions to impulsive differential equations with integral boundary conditions
... Recently, some well-known works, such as Hao et al. [], Zhang et al. [] and Ding and Wang [], deal with impulsive differential equations with integral boundary conditions. However, most of these results are obtained ...
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Construction of upper and lower solutions for singular discrete initial and boundary value problems via inequality theory
... CONSTRUCTION OF UPPER AND LOWER SOLUTIONS FOR SINGULAR DISCRETE INITIAL AND BOUNDARY VALUE PROBLEMS VIA INEQUALITY THEORY HAISHEN LU? AND DONAL O?REGAN Received 25 May 2004 We present new existence re[.] ...
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Monotone iterative technique for causal differential equations with upper and lower solutions in the reversed order
... the solutions for the linear problem of ...the upper and lower solutions in the reversed order, we obtain the existence of extremal solutions for problem ...coupled upper and ...
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Causal difference equations with upper and lower solutions in the reverse order
... This paper is devoted to studying the existence conditions for difference equations involving causal operators in the presence of upper and lower solutions in the reverse order. To this end, we prove ...
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Method of upper lower solutions for nonlinear system of fractional differential equations and applications
... Now-a-days the theory of fractional differential equations have been occupying an importance place in science and tech- nology.Fractional differential equations have been widely used for modeling various processes in ...
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UPPER AND LOWER SOLUTIONS METHOD FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS
... positive solutions to FDEs with BCs. Our analysis relies on the method of lower and upper solutions and some fixed point theorems on a ...
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The unique solution for periodic differential equations with upper and lower solutions in reverse order
... the upper and lower solution method together with the iterative technique is a powerful tool for proving the existence results for boundary value problems (see [–] and the references ...the upper ...
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Quadratic convergence of monotone iterates for semilinear elliptic obstacle problems
... as lower and upper obstacle problems with variables u ¯ and –u, ...of upper and lower solutions of nonlinear complementarity problem ...
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Nonlinear Boundary Value Problem of First Order Impulsive Functional Differential Equations
... extremal solutions and unique solution in Section 3 by using the method of upper and lower solutions coupled with monotone iterative ...
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Existence and Multiplicity Results for Second Order Nonlinear Differential Equations with Multivalued Boundary Conditions
... is lower and upper solution’s me- ...used upper and lower solutions to study second-order differential equations with Dirichlet boundary ...combining lower and upper ...
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The Boundedness, Existence, Uniqueness and Stability of a Delayed Reaction diffusion Predator prey Model
... of upper and lower solutions, ...of upper and lower solutions, the local and global stability of the constant equilibria of the system are obtained, ...
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Construction of lower and upper solutions for first-order periodic problem
... of lower and upper solutions is an elementary but powerful tool in the exis- tence theory of solutions to initial value problems and for periodic boundary value prob- lems, even in cases where ...
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Lower and Upper Solutions for General Two-Point Fractional Order Boundary Value Problems
... using upper and lower solutions ...the lower and the upper solution, that is, we have information about the existence and location of the ...
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Solutions to a boundary value problem of a fourth-order impulsive differential equation
... of solutions of system ...of solutions of impulsive differential equations include fixed point theorems, the upper and lower solutions method, the degree theory, critical point theory and ...
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Dynamics of a predator–prey system with three species
... wave solutions implying that one predator and one prey invade the habitat of another ...wave solutions is proved by combining upper and lower solutions with a fixed point theorem, and ...
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Monotone Method for Nonlinear First-order Hyperbolic Initial-boundary Value Problems of Moving Boundary
... Over the past several years, many authors have successfully applied the monotone method to nonlinear differential equations [4-6]. Based on the comparison principle, such a method involves the construction of monotone ...
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Delayed phenomenon of loss of stability of solutions in a second-order quasi-linear singularly perturbed boundary value problem with a turning point
... the solutions defined in (6) are attracted for x <C and repelled for x ...of upper and lower solutions, we will prove that there exists at least one solu- tion of (1-3) tending to one of ...
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Multiple solutions of three-point boundary value problems for second-order impulsive differential equation at resonance
... 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 impulses at ...
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Multiple solutions of boundary value problems with ϕ-Laplacian operators and under a Wintner-Nagumo growth condition
... Using the method of upper and lower solutions and the fixed point index theory, we es- tablish existence and multiplicity results for problem (.) with Dirichlet, Neumann or periodic boundary value ...
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Multiplicity Results via Topological Degree for Impulsive Boundary Value Problems under Non-Well-Ordered Upper and Lower Solution Conditions
... Recently, this multipoint boundary value problem has been studied by many authors, see 16, 17, 19–21 and the references therein. The goal of this section is to prove some multiplicity results for 3.2 using the condition ...
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