Results 21 to 30 of about 115,527,476 (289)
Asymptotic stability of a perturbed abstract differential equations in Banach spaces [PDF]
Operators and Matrices, 2020 Summary: This paper is mainly concerned with the asymptotic stability of the solutions of a perturbed abstract differential equation in Banach spaces. Let \(A\) be a generator of an exponentially stable operator semigroup and let \(C(t)\), \(t\geqslant 0\) be a linear bounded variable operator.
Damak, Hanen, Hammami, Mohamed Ali
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Embedding Operators in Vector-Valued Weighted Besov Spaces and Applications
Journal of Function Spaces and Applications, 2012 The embedding theorems in weighted Besov-Lions type spaces 𝐵𝑙,𝑠𝑝,𝑞,𝛾 (Ω;𝐸0,𝐸) in which 𝐸0,𝐸 are two Banach spaces and 𝐸0⊂𝐸 are studied. The most regular class of interpolation space 𝐸𝛼 between 𝐸0 and E is found such that the mixed differential operator ...
Veli Shakhmurov
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A Class of Quasilinear Equations with Riemann–Liouville Derivatives and Bounded Operators
Axioms, 2022 The existence and uniqueness of a local solution is proved for the incomplete Cauchy type problem to multi-term quasilinear fractional differential equations in Banach spaces with Riemann–Liouville derivatives and bounded operators at them.
Vladimir E. Fedorov +2 more
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Solvability and completeness of solutions of parabolic differential-operator equations [PDF]
Математичні Студії, 2011 We consider an abstract Cauchy problem for parabolic differential-operator equations in Hilbert spaces. Initial boundary value problems for parabolic equations are reduced to the Cauchy problem for a system of parabolic differential equations.
M. M. Mamedov
doaj
First-Order Regular and Degenerate Identification Differential Problems
Abstract and Applied Analysis, 2015 We are concerned with both regular and degenerate first-order identification problems related to systems of differential equations of weakly parabolic type in Banach spaces. Several applications to partial differential equations and systems will be given
A. Favini, A. Lorenzi, H. Tanabe
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, 2023 The equation G(x,x)=y˜, where G:X×X→Y, and X,Y are vector metric spaces (meaning that the values of a distance between the points in these spaces belong to some cones E+,M+ of a Banach space E and a linear space M, respectively), is ...
Evgeny Zhukovskiy, Elena Panasenko
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On global regularity of 2D generalized magnetohydrodynamic equations [PDF]
, 2013 In this article we study the global regularity of 2D generalized magnetohydrodynamic equations (2D GMHD), in which the dissipation terms are –ν(–Δ)αu and –κ(–Δ)βb. We show that smooth solutions are global in the following three cases: α≥1/2, β≥1; 0≤α≤1/2,
Tran, Chuong Van +2 more
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Boundary Value Problems, 2020 In this paper, we consider the initial boundary value problem for a class of nonlinear fractional partial integro-differential equations of mixed type with non-instantaneous impulses in Banach spaces.
Bo Zhu +3 more
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Notes on almost-periodicity in topological vector spaces
International Journal of Mathematics and Mathematical Sciences, 1986 A study is made of almost-periodic functions in topological vector spaces with applications to abstract differential equations.
Gaston Mandata N'guérékata
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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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