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Integro-differential equations with bounded operators in Banach spaces [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 The paper investigates integro-differential equations in Banach spaces with operators, which are a composition of convolution and differentiation operators.
V.E. Fedorov, A.D. Godova, B.T. Kien
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Advances in Difference Equations, 2021 In this work, a technique for finding approximate solutions for ordinary fraction differential equations (OFDEs) of any order has been proposed. The method is a hybrid between Galerkin and collocation methods.
Mohamed Abdelhakem +3 more
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An approximation solvability method for nonlocal differential problems in Hilbert spaces [PDF]
, 2017 A new approach is developed for the solvability of nonlocal problems in Hilbert spaces associated to nonlinear differential equations. It is based on a joint combination of the degree theory with the approximation solvability method and the bounding ...
Benedetti, Irene +3 more
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Dual Isomonodromic Deformations and Moment Maps to Loop Algebras [PDF]
, 1993 The Hamiltonian structure of the monodromy preserving deformation equations of Jimbo {\it et al } is explained in terms of parameter dependent pairs of moment maps from a symplectic vector space to the dual spaces of two different loop algebras.
A. Weinstein +12 more
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Triplets of Closely Embedded Hilbert Spaces [PDF]
, 2014 We obtain a general concept of triplet of Hilbert spaces with closed (unbounded) embeddings instead of continuous (bounded) ones. The construction starts with a positive selfadjoint operator $H$, that is called the Hamiltonian of the system, which is ...
Cojuhari, Petru, Gheondea, Aurelian
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International Journal of Mathematics and Mathematical Sciences, 2001 We consider abstract differential equations of the form u′(t)=Au(t)+f(t) or u″(t)=Au(t)+f(t) in Banach spaces X, where f(⋅), ℝ→X is almost-periodic, while A is a linear operator, 𝒟(A)⊂X→X.
Samuel Zaidman
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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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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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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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NECESSARY AND SUFFICIENT CONDITIONS FOR MAXIMAL REGULARITY IN THE STUDY OF ELLIPTIC DIFFERENTIAL EQUATIONS IN HÖLDER SPACES [PDF]
, 2008 International audienceIn this paper we give new results on complete abstract second order differential equations of elliptic type in the framework of Hölder spaces.
Favini, Angelo +4 more
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