The method of upper and lower solutions
The method of upper and lower solutions to impulsive differential equations with integral boundary conditions
... the method of upper and lower solutions is a powerful tool for proving the existence results for a large class of boundary value problems, see ...
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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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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 ...the method of upper and lower solutions, we will prove that there exists at least one solu- tion of (1-3) ...
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Construction of lower and upper solutions for first-order periodic problem
... The method 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, ...
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Reaction-Diffusion Systems with Discontinuous Reaction Functions
... the method of upper and lower solutions we develop some monotone iterative schemes for the reaction-diffusion system in Chapter 3 where some monotone convergent sequences are constructed from a ...
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Two Point Boundary Value Problems for a Class of Second Order Ordinary Differential Equations
... the method of upper and lower solutions, we obtain an existence ...of solutions of u gt, u, u 0 is homeomorphic to the two-dimensional real ...
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UPPER AND LOWER SOLUTIONS METHOD FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS
... [18] K. Shah, R.A. Khan, Iterative solutions to a coupled system of nonlinear fractional differential equation, J. Frac. Calc. Appl., 7, No 2 (2016), 40–50. [19] G. Wang, S. Liu, R.P. Agrawal, L. Zhang, Positive ...
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Positive Solution of Singular Boundary Value Problem for a Nonlinear Fractional Differential Equation
... The method of upper and lower solutions and the Schauder fixed point theorem are used to investigate the existence and uniqueness of a positive solution to a singular boundary value problem ...
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Extremal mild solutions for impulsive fractional evolution equations with nonlocal initial conditions
... the method of upper and lower solutions, we construct two groups of monotone iterative sequences, and then prove these sequences monotonically converge to the maximal and minimal mild ...
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Nonlinear Boundary Value Problem of First Order Impulsive Functional Differential Equations
... the method of upper and lower solutions, some criteria on the existence of extremal solutions as well as the unique solution are ...
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Monotone iterative method for differential systems with coupled integral boundary value problems
... the method of upper and lower solutions and the monotone iterative technique, we investigate the differential systems with coupled integral boundary value ...of solutions of the given ...
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The Boundedness, Existence, Uniqueness and Stability of a Delayed Reaction diffusion Predator prey Model
... linearization method and the method of upper and lower solutions, ...linearization method and the method of upper and lower solutions, the local and ...
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Multiple solutions of three-point boundary value problems for second-order impulsive differential equation at resonance
... of upper and lower solutions for problem ...degree method of Mawhin [], the existence of multiple solutions for the problem ...
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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- thod. This method provides a precious tool to get existence results for first and second order initial and boundary value ...The method allows to generate ...
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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 ...
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Positive periodic solutions for a second-order functional differential equation
... periodic solutions have attracted many authors’ attention and ...the upper and lower solutions method and monotone iterative technique [–], the continuation method of ...
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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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Positive Solutions for Multi-Order Nonlinear Fractional Systems
... positive solutions for a class of multi-order systems of fractional differential equations with nonlocal ...and upper and lower solutions ...
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Positive periodic solution for high-order p-Laplacian neutral differential equation with singularity
... the method of lower and upper solutions [–], the Poincaré- Birkhoff twist theorem [–], topological degree theory [, ], the Schauder fixed point theorem [–], the Leray-Schauder ...
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The method of lower and upper solutions for fourth order equations with the Navier condition
... with the homogeneous boundary value conditions (.) as well as the more general nonho- mogeneous boundary value conditions, and then applied the positiveness properties in a systematic way to obtain existence theorems ...
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