Results 31 to 40 of about 119,366,956 (291)
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
openaire +2 more sources
A Hilbert Space Approach to Fractional Differential Equations [PDF]
, 2022 We study fractional differential equations of Riemann–Liouville and Caputo type in Hilbert spaces. Using exponentially weighted spaces of functions defined on R, we define fractional operators by means of a functional calculus using the Fourier transform.
Diethelm, Kai +5 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2006 In this paper we consider the semilinear differential equation with deviated argument in a Fréchet space $x^{\prime}(t) = A x(t) + f(t, x(t), x[\alpha(x(t),t)]),$ $t \in {\mathbb{R}}$, where $A$ is the infinitesimal (bounded) generator of a $C_{0 ...
C. Gal
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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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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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On the covering dimension of the set of solutions of some nonlinear equations [PDF]
, 1986 We prove an abstract theorem whose sole hypothesis is that the degree of a certain map is nonzero and whose parametric equations are studied using cohomological mconclusions imply sharp, multidimensional continuation results.
Pejsachowicz, Jacobo +7 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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Multi-dimensional c-almost periodic type functions and applications
Electronic Journal of Differential Equations, 2022 In this article, we analyze multi-dimensional Bohr (B,c)-almost periodic type functions. The main structural characterizations for the introduced classes of Bohr (B,c)-almost periodic type functions are established.
Marko Kostic
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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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