Results 61 to 70 of about 20,962 (157)
MONOTONE ITERATIVE TECHNIQUE FOR IMPULSIVE EVOLUTION EQUATIONS WITH INFINITE DELAY
Journal of Applied Analysis & ComputationSummary: In this paper, we use a monotone iterative technique in the presence of lower and upper solutions to discuss the existence of solutions for the initial value problem of impulsive evolution equations with infinite delay in an ordered Banach space \(X\). Finally, we give an example to illustrate our main results.
Zhang, Xuping, Sun, Pan, O'Regan, Donal
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Monotone iterative technique and connectedness of the set of solutions [PDF]
Mathematica Bohemica, 2000 Summary: The paper deals with the properties of a monotone operator defined on a subset of an ordered Banach space. The structure of the set of fixed points between the minimal and maximal ones is described.
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Mathematics, 2020 In this paper, using the Avery−Henderson fixed point theorem and the monotone iterative technique, we investigate the existence of positive solutions for a class of p-Laplacian Hadamard fractional-order three-point boundary value problems.
Jiafa Xu, Jiqiang Jiang, Donal O'Regan
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Monotone iterative technique for impulsive Riemann-Liouville fractional differential equations
Filomat, 2018 In this article, Monotone iterative technique coupled with the method of lower and upper solutions is employed to discuss the existence and uniqueness of mild solution to an impulsive Riemann-Liouville fractional differential equation. The results are obtained using the concept of measure of noncompactness, semigroup theory and generalized ...
Chaudhary, Renu, Pandey, Dwijendra N.
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International Journal of Analysis and Applications, 2015 In this paper, monotone iterative technique for nonlinear initial value prob-lems involving the difference of two functions is developed. As an application ofthis technique, existence of solution of nonlinear initial value problems involvingthe ...
J.A. Nanware
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MONOTONE ITERATIVE TECHNIQUE FOR IMPULSIVE RETARDED DIFFERENTIAL-FUNCTIONAL EQUATIONS SYSTEMS
Demonstratio Mathematica, 2004 The paper deals with a monotone iterative method for impulsive ordinary differential-difference equations. The author proves a comparison principle for the problem under consideration and obtains two monotone sequences of upper and lower solutions which are convergent to quasisolutions of the impulsive problem in a sector.
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General uniqueness and monotone iterative technique for fractional differential equations
Applied Mathematics Letters, 2008 The authors present a very interesting work on how can be explored the solution of certain class of hyperbolic evolution equation, with limited smoothness, using multi-scale approaching techniques. The construction considered by the authors in this paper implies a full-wave description. The study suggests a novel computational algorithm.
Lakshmikantham, V., Vatsala, A.S.
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Journal of Applied Mathematics, 2014 We introduce and study a class of new general systems of set-valued variational inclusions involving (A,η)-maximal relaxed monotone operators in Hilbert spaces.
Ting-jian Xiong, Heng-you Lan
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Boundary Value Problems, 2017 In this article, the existence of positive solutions is considered for nonlinear four-point Caputo fractional differential equation with p-Laplacian operator.
Yunhong Li, Heju Yang
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Monotone iterative technique for differential equations in a Banach space
Journal of Mathematical Analysis and Applications, 1982 Iffis continuous, steps (i) and (iii) are standard and straightforward. It is step (ii) that deserves attention. This in turn leads to three possibilities, namely, to show that the sequence of approximate solutions is (a) a Cauchy sequence, (b) relatively compact so that one can appeal to Ascoli’s theorem, and (c) a monotone sequence in a cone.
Du, S.W, Lakshmikantham, V
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