Results 1 to 10 of about 4,901 (302)
On the Bohr transform of almost-periodic solutions for some differential equations in abstract spaces [PDF]
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
doaj +4 more sources
Almost-periodicity in linear topological spaces and applications to abstract differential equations [PDF]
International Journal of Mathematics and Mathematical Sciences, 1984 Let E be a complete locally convex space (l.c.s.) and f:R→E a continuous function; then f is said to be almost-periodic (a.p.) if, for every neighbourhood (of the origin in E) U, there exists ℓ=ℓ(U)>0 such that every interval [a,a+ℓ] of the real line ...
Gaston Mandata N'Guerekata
doaj +2 more sources
Approximation of inverse problems for fractional differential equations in abstract spaces
Alexandria Engineering JournalThis article focuses on approximating a fractional-order inverse problem (IP) for an abstract differential equation in a Hilbert space. The main tools to find out the results are fixed-point methods, the α-resolvent family, and optimal control (OC ...
Santosh Ruhil +3 more
doaj +2 more sources
Journal of Inequalities and Applications, 2023 A novel measure of noncompactness is defined in variable exponent Lebesgue spaces L p ( ⋅ ) $L^{p(\cdot )}$ on an unbounded domain R + $\mathbb{R}^{+}$ and its properties are examined.
Mohamed M. A. Metwali
doaj +1 more source
Fixed Point Theory and Algorithms for Sciences and Engineering, 2022 In this article, we present an approach to solve a wide range of nonlinear equations formulated in extended b-metric spaces based on a new fixed-point theorem on these spaces.
Abdelkader Belhenniche +3 more
doaj +1 more source
Best proximity point results and application to a system of integro-differential equations
Advances in Difference Equations, 2021 In this work, we solve the system of integro-differential equations (in terms of Caputo–Fabrizio calculus) using the concepts of the best proximity pair (point) and measure of noncompactness.
Anupam Das +3 more
doaj +1 more source
Inequalities for integral operators in Hölder–Morrey spaces on differential forms
Journal of Inequalities and Applications, 2023 The Hölder–Morrey spaces Λ κ p , τ ( Ω , ∧ l ) $\Lambda _{\kappa}^{p,\tau}(\Omega ,\wedge ^{l})$ are proposed in this paper. The imbedding inequalities for homotopy operator are derived in Hölder–Morrey spaces on differential forms. The Hölder continuity
Xuexin Li, Jianwei Wang, Ning Pan
doaj +1 more source
Differential equations on abstract Wiener space [PDF]
Pacific Journal of Mathematics, 1972 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
ON DISCONTINUOUS FUNCTIONAL VOLTERRA INTEGRAL EQUATIONS AND IMPULSIVE DIFFERENTIAL EQUATIONS IN ABSTRACT SPACES [PDF]
Glasgow Mathematical Journal, 2004 In this paper we apply fixed point results in ordered spaces to derive existence and comparison results for discontinuous functional integral equations of Volterra type in ordered Banach spaces. The results obtained are then applied to first order impulsive differential equations.
HEIKKILÄ, S., O'REGAN, D.
openaire +2 more sources
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
doaj +3 more sources