Results 51 to 60 of about 1,106 (205)
Compact matrix operators on a new sequence space related to ℓ p $\ell_{p}$ spaces
Journal of Inequalities and Applications, 2016 In this paper, we derive some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on the sequence space ℓ p ( r , s , t ; B ( m ) ) $\ell_{p}(r,s,t;B^{(m)})$ which is related to ℓ p ...
Abdullah Alotaibi +2 more
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Representation of measures of noncompactness and its applications related to an initial-value problem in Banach spaces [PDF]
, 2021 Xiaoling Chen, Lixin Cheng
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Persistence of unknottedness of clean Lagrangian intersections
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract Let Q0$Q_0$ and Q1$Q_1$ be two Lagrangian spheres in a six‐dimensional symplectic manifold. Assume that Q0$Q_0$ and Q1$Q_1$ intersect cleanly along a circle that is unknotted in both Q0$Q_0$ and Q1$Q_1$. We prove that there is no nearby Hamiltonian isotopy of Q0$Q_0$ and Q1$Q_1$ to a pair of Lagrangian spheres meeting cleanly along a circle ...
Johan Asplund, Yin Li
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Radon–Nikodým indexes and measures of weak noncompactness
Journal of Functional Analysis, 2014 The authors introduce and study certain indices related to the Radon-Nikodým property in Banach spaces. Interesting quantitative versions of classic results in RNP are proved. Let \(E\) be a Banach space and \((\Omega,\Sigma,\mu)\) a complete probability space.
B. Cascales, A. Pérez, M. Raja
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Gradient estimates for the porous medium type equations and fast diffusion type equations on complete noncompact metric measure space with compact boundary [PDF]
, 2022 Xiangzhi Cao
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 15194-15218, 15 November 2025.ABSTRACT In recent years, the study of sequential fractional differential equations (SFDEs) has become increasingly important in multiple domains of science and engineering. This work investigates a new class of boundary value problems (BVPs) characterized by nonlocal closed boundary conditions involving SFDEs with Caputo fractional integral operators.
Saud Fahad Aldosary +2 more
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Barycenters of measures on certain noncompact convex sets [PDF]
Transactions of the American Mathematical Society, 1971 Each norm closed and bounded convex subset K of a separable dual Banach space is, according to a theorem of Bessaga and Pelczynski, the norm closed convex hull of its extreme points. It is natural to expect that this theorem may be reformulated as an integral representation theorem, and in this connection we have examined the extent to which the ...
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Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2595-2611, November/December 2025.Optimal Control of AB Caputo Fractional Stochastic Integrodifferential Control System with Noninstantaneous Impulses. ABSTRACT This study is concerned with the existence of mild solution and optimal control for the Atangana–Baleanu fractional stochastic integrodifferential system with noninstantaneous impulses in Hilbert spaces. We verify the existence
Murugesan Johnson +2 more
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A POINT OF VIEW ON MEASURES OF NONCOMPACTNESS
Demonstratio Mathematica, 1993 The author presents a general scheme of construction of measures of noncompactness and an example of application in the theory of nonlinear differential equations.
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A MEASURE OF NONCOMPACTNESS IN SEQUENCE BANACH SPACES
Demonstratio Mathematica, 1995 A measure of noncompactness is introduced and shown to be equivalent to the Hausdorff measure of noncompactness.
Martinón, Antonio, Sadarangani, Kishin
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