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Almost‐periodicity in linear topological spaces and applications to abstract differential equations [PDF]
International Journal of Mathematics and Mathematical Sciences, 1982 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 contains at least one τ point such that f(t + τ) − f(t) ∈ U for every t ∈ R.
Gaston Mandata N'Guerekata
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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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Hölder regularity for abstract semi-linear fractional differential equations in Banach spaces
Computers & Mathematics with Applications, 2021 Producción ...
Cuesta Montero, Eduardo, Ponce, Rodrigo
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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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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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Linear Inverse Problems for Multi-term Equations with Riemann — Liouville Derivatives
Известия Иркутского государственного университета: Серия "Математика", 2021 The issues of well-posedness of linear inverse coefficient problems for multi-term equations in Banach spaces with fractional Riemann – Liouville derivatives and with bounded operators at them are considered. Well-posedness criteria are obtained both for
M. M. Turov, V.E. Fedorov, B.T. Kien
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Mathematics, 2022 Linear equations in Banach spaces with a distributed fractional derivative given by the Stieltjes integral and with a closed operator A in the right-hand side are considered. Unlike the previously studied classes of equations with distributed derivatives,
Sergey M. Sitnik +3 more
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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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Existence of Pseudo Almost Periodic Solutions to Some Classes of Partial Hyperbolic Evolution Equations [PDF]
, 2006 The paper examines the existence of pseudo almost periodic solutions to some classes of partial hyperbolic evolution equations. Namely, sufficient conditions for the existence and uniqueness of pseudo almost periodic solutions to those classes of ...
Diagana, Toka
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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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