Results 11 to 20 of about 4,256,060 (242)

Monotone Iterative Technique for Fractional Evolution Equations in Banach Spaces

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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The Monotone Iterative Technique for Three-Point Second-Order Integrodifferential Boundary Value Problems with p-Laplacian [PDF]

Boundary Value Problems, 2007
A monotone iterative technique is applied to prove the existence of the extremal positive pseudosymmetric solutions for a three-point second-order p-Laplacian integrodifferential boundary value problem.
Bashir Ahmad, Juan J. Nieto
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Some remarks on the monotone iterative technique [PDF]

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 Partial Dynamic Equations of First Order on Time Scales [PDF]

Discrete Dynamics in Nature and Society, 2008
This work is concerned with the monotone iterative technique for partial dynamic equations of first order on time scales and for this purpose, the existence, uniqueness, and comparison results are also established.
Peiguang Wang, Ping Li
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Monotone iterative technique for time-space fractional diffusion equations involving delay [PDF]

Nonlinear Analysis, 2021
This paper considers the initial boundary value problem for the time-space fractional delayed diffusion equation with fractional Laplacian. By using the semigroup theory of operators and the monotone iterative technique, the existence and uniqueness of ...
Qiang Li, Guotao Wang, Mei Wei
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Well ordered monotone iterative technique for nonlinear second order four point Dirichlet BVPs

Mathematical Modelling and Analysis, 2022
In this article, we develop a monotone iterative technique (MI-technique) with lower and upper (L-U) solutions for a class of four-point Dirichlet nonlinear boundary value problems (NLBVPs), defined as,  where , the non linear term is continuous ...
Amit Verma, Nazia Urus
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Monotone-iterative technique of Lakshmikantham for the initial value problem for a differential equation with a step function

International Journal of Mathematics and Mathematical Sciences, 2002
The initial value problem for a special kind of differential equations with a step function is studied. The monotone-iterative technique of Lakshmikantham for approximate finding of the solutions of the given problem is well grounded.
S. G. Hristova, M. A. Rangelova
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Perturbation Results and Monotone Iterative Technique for Fractional Evolution Equations

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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Existence Results and the Monotone Iterative Technique for Nonlinear Fractional Differential Systems with Coupled Four-Point Boundary Value Problems [PDF]

Abstract and Applied Analysis, 2014
By establishing a comparison result and using the monotone iterative technique combined with the method of upper and lower solutions, we investigate the existence of solutions for nonlinear fractional differential systems with coupled four-point boundary
Yujun Cui, Yumei Zou
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Monotone Iterative Solutions for Nonlinear Boundary Value Problems of Fractional Differential Equation [PDF]

Abstract and Applied Analysis, 2013
By means of the method of quasi-lower and quasi-upper solutions and monotone iterative technique, we consider the nonlinear boundary value problems with Caputo fractional derivative and introduce two well-defined monotone sequences of quasi-lower and ...
Chaozhu Hu, Bin Liu, Songfa Xie
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