Results 11 to 20 of about 20,962 (157)

Some remarks on the monotone iterative technique

Journal of Numerical Analysis and Approximation Theory, 2002
We consider an abstract operator equation in coincidence form \(Lu=N(u)\) and establish some comparison results and existence results via the monotone iterative technique. We use a generalized iteration method developed by Carl-Heikkila (1999).
Adriana Buică
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Monotone Iterative Technique for Fractional Evolution Equations in Banach Spaces [PDF]

Journal of Applied Mathematics, 2011
We investigate the initial value problem for a class of fractional evolution equations in a Banach space. Under some monotone conditions and noncompactness measure conditions of the nonlinearity, the well-known monotone iterative technique is then ...
Jia Mu
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Perturbation Results and Monotone Iterative Technique for Fractional Evolution Equations [PDF]

Abstract and Applied Analysis, 2011
We mainly study the fractional evolution equation in an ordered Banach space 𝑋𝐶𝐷𝑎0+𝑢(𝑡)+𝐴𝑢(𝑡)=𝑓(𝑡,𝑢(𝑡),𝐺𝑢(𝑡 ...
Jia Mu
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Mixed monotone iterative technique for fractional impulsive evolution equations [PDF]

Miskolc Mathematical Notes, 2016
Zhao, Jing
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Monotone iterative technique for impulsive fractional evolution equations [PDF]

Journal of Inequalities and Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mu, Jia, Li, Yongxiang
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Monotone Iterative Technique for Conformable Fractional Differential Equations with Deviating Arguments [PDF]

Discrete Dynamics in Nature and Society, 2020
This paper is concerned with the existence of extremal solutions for periodic boundary value problems for conformable fractional differential equations with deviating arguments. We first build two comparison principles for the corresponding linear equation with deviating arguments.
Huiling Chen, Shuman Meng, Yujun Cui
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Approximation solvability for a system of implicit nonlinear variational inclusions with Η-monotone operators

Demonstratio Mathematica, 2018
In this paper, we introduce and study a new system of variational inclusions which is called a system of nonlinear implicit variational inclusion problems with A-monotone and H-monotone operators in semi-inner product spaces.
Kim Jong Kyu, Bhat Muhammad Iqbal
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Existence and Uniqueness of Positive Solutions for Discrete Fourth-Order Lidstone Problem with a Parameter

Advances in Difference Equations, 2010
This work presents sufficient conditions for the existence and uniqueness of positive solutions for a discrete fourth-order beam equation under Lidstone boundary conditions with a parameter; the iterative sequences yielding approximate solutions are also
Yanbin Sang, Zhongli Wei, Wei Dong
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Existence and Monotone Iteration of Positive Pseudosymmetric Solutions for a Third-Order Four-Point BVP

Abstract and Applied Analysis, 2014
We study the existence and monotone iteration of solutions for a third-order four-point boundary value problem. An existence result of positive, concave, and pseudosymmetric solutions and its monotone iterative scheme are established by using the ...
Xuezhe Lv, Libo Wang, Minghe Pei
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Existence and Monotone Iteration of Positive Pseudosymmetric Solutions for a Third-Order Four-Point BVP with -Laplacian

Abstract and Applied Analysis, 2013
We study the existence and monotone iteration of solutions for a third-order four-point boundary value problem with -Laplacian. An existence result of positive, concave, and pseudosymmetric solutions and its monotone iterative scheme are established by ...
Dan Li, Libo Wang, Minghe Pei
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