Long-Time Behavior of Solution for a Reactor Model [PDF]
Advances in Mathematical Physics, 2015 In this paper, we would consider the dynamical behaviors of the chemical model represented by Satnoianu et al. (2001). Using the Kuratowski measure of noncompactness method, we prove the existence of global attractor for the weak solution semiflow of ...
Yantao Guo, Jianwei Shen, Qianqian Zheng
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Infinite System of Differential Equations in Some Spaces [PDF]
Abstract and Applied Analysis, 2012 The first measure of noncompactness was defined by Kuratowski in 1930 and later the Hausdorff measure of noncompactness was introduced in 1957 by Goldenštein et al.
M. Mursaleen, Abdullah Alotaibi
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Boundary value problem for nonlinear fractional differential equations of variable order via Kuratowski MNC technique [PDF]
Advances in Difference Equations, 2021 In the present research study, for a given multiterm boundary value problem (BVP) involving the Riemann-Liouville fractional differential equation of variable order, the existence properties are analyzed.
Amar Benkerrouche +4 more
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Impulsive Fractional Differential Equations with p-Laplacian Operator in Banach Spaces
Journal of Function Spaces, 2018 In this paper, we study a class of boundary value problem (BVP) with multiple point boundary conditions of impulsive p-Laplacian operator fractional differential equations.
Jingjing Tan, Kemei Zhang, Meixia Li
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Pullback Attractors for Nonautonomous 2D-Navier-Stokes Models with Variable Delays [PDF]
Abstract and Applied Analysis, 2013 Using a method based on the concept of the Kuratowski measure of the noncompactness of a bounded set as well as some new estimates of the equicontinuity of the solutions, we prove the existence of a unique pullback attractor in higher regularity space ...
Xiaoli Liu, Yejuan Wang
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Existence of solutions for delay evolution equations with nonlocal conditions
Open Mathematics, 2017 In this paper, we are devoted to study the existence of mild solutions for delay evolution equations with nonlocal conditions. By using tools involving the Kuratowski measure of noncompactness and fixed point theory, we establish some existence results ...
Zhang Xuping, Li Yongxiang
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Solutions of fractional differential equations with p-Laplacian operator in Banach spaces
Boundary Value Problems, 2018 In this paper, we study the solutions for nonlinear fractional differential equations with p-Laplacian operator nonlocal boundary value problem in a Banach space.
Jingjing Tan, Meixia Li
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Journal of MathematicsThis paper investigates a class of nonlinear boundary value problems (BVPs) for Hadamard-type variable-order (VO) fractional differential equations (FDEs) with delay.
Insaf Naima Telli +4 more
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Existence and attractivity of solutions of semilinear Volterra type integro-differential evolution equations [PDF]
Surveys in Mathematics and its Applications, 2018 In this paper, we prove a result on the existence and local attractivity of solutions of second order semilinear evolution equation. Our investigations will be situated on the Banach space of functions which are defined, continuous and bounded on the ...
Mouffak Benchohra, Noreddine Rezoug
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On the Kuratowski measure of noncompactness for duality mappings
, 2012 Let $(X,\Vert \cdot\Vert ) $ be an infinite dimensional real Banach space having a Fréchet differentiable norm and $\varphi\colon \mathbb{R}_{+}\rightarrow \mathbb{R}_{+}$ be a gauge function. Denote by $J_{\varphi}\colon X\rightarrow X^{\ast}$ the duality mapping on $X$ corresponding to $\varphi$.
Dinca, George
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