Results 21 to 30 of about 119,767,946 (229)
A priori bounds of the solution of a one point IBVP for a singular fractional evolution equation
Advances in Difference Equations, 2020 A priori bounds constitute a crucial and powerful tool in the investigation of initial boundary value problems for linear and nonlinear fractional and integer order differential equations in bounded domains.
Said Mesloub, Hassan Eltayeb Gadain
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Electronic Journal of Differential Equations, 2020 In this article, we give new results on the study of elliptic complete abstract second order differential equations with variable operator coefficients under Dirichlet boundary conditions, and set in $\mathbb{R}_+$.
Fatiha Boutaous
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Integro-differential equations in Banach spaces and analytic resolving families of operators
Современная математика: Фундаментальные направления, 2023 We study a class of equations in Banach spaces with a Riemann–Liouville-type integro-differential operator with an operator-valued convolution kernel. The properties of \(k\)-resolving operators of such equations are studied and the class \(\mathcal A_ ...
V. E. Fedorov, A. D. Godova
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Open Mathematics, 2022 In this paper, we study the existence of solutions for the neutral evolution equations with nonlocal conditions and delay in α\alpha -norm, which are more general than in many previous publications.
Zhang Xuping, Sun Pan
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Abstract Cauchy problems for second order linear differential equations in a Banach space
Hiroshima Mathematical Journal, 1987 Let A be a closed linear operator in a Banach space X and let Y be a linear manifold of X. Assume that (a) Y is a normed space under a certain norm \(\|| \cdot \||\) which is stronger than the original norm \(\| \cdot \|\) of X; (b) there is \(\omega \geq 0\) such that for each \(\lambda >\omega\), the range \(R(\lambda^ 2-A)\) contains Y, \(R(\lambda^
Takenaka, Tosiharu, Okazawa, Noboru
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Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps [PDF]
, 2013 Coarse spaces are instrumental in obtaining scalability for domain decomposition methods for partial differential equations (PDEs). However, it is known that most popular choices of coarse spaces perform rather weakly in the presence of heterogeneities ...
Hauret, P. +13 more
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Abstract and Applied Analysis, 2013 For those semigroups, which may have power type singularities and whose generators are abstract multivalued linear operators, we characterize the behaviour with respect to a certain set of intermediate and interpolation spaces.
Alberto Favaron, Angelo Favini
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Fundamental solutions for semidiscrete evolution equations via Banach algebras
Advances in Difference Equations, 2021 We give representations for solutions of time-fractional differential equations that involve operators on Lebesgue spaces of sequences defined by discrete convolutions involving kernels through the discrete Fourier transform.
Jorge González-Camus +2 more
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, 2022 : Based on Jumarie type of Riemann-Liouville (R-L) fractional calculus, this paper provides several examples to illustrate how to use fractional Laplace transform to find the solution of linear system of fractional differential equations.
Chii-Huei Yu
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A class of abstract quasi-linear evolution equations of second order [PDF]
, 1999 In this paper we study the abstract quasi-linear evolution equation of second order formula here in a general banach space z. it is well-known that the abstract quasi-linear theory due to kato [10, 11] is widely applicable to quasi-linear partial ...
NAOKI TANAKA, Tanaka, Naoki
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