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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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Extensions of some differential inequalities for fractional integro-differential equations via upper and lower solutions [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 This paper deals with some differential inequalities for generalized fractional integro-differential equations by using the technique of upper and lower solutions. The fractional differential operator is taken in Caputo’s sense and the nonlinear
A. Yakar, H. Kutlay
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Algorithms, 2023 Integro-differential equations involving Volterra and Fredholm operators (VFIDEs) are used to model many phenomena in science and engineering. Nonlocal boundary conditions are more effective, and in some cases necessary, because they are more accurate ...
Efthimios Providas +1 more
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Abstract Impulsive Volterra Integro-Differential Inclusions
Fractal and Fractional, 2023 In this work, we provide several applications of (a, k)-regularized C-resolvent families to the abstract impulsive Volterra integro-differential inclusions.
Wei-Shih Du +2 more
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Fractal and Fractional, 2021 This article is mainly devoted to the study of the existence of solutions for second-order abstract non-autonomous integro-differential evolution equations with infinite state-dependent delay.
Shahram Rezapour +4 more
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Algorithms, 2021 The aim of this article is to present a procedure for the factorization and exact solution of boundary value problems for a class of n-th order linear Fredholm integro-differential equations with multipoint and integral boundary conditions.
Efthimios Providas +1 more
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Coercivity estimates for integro-differential operators [PDF]
Calculus of Variations and Partial Differential Equations, 2020 We provide a general condition on the kernel of an integro-differential operator so that its associated quadratic form satisfies a coercivity estimate with respect to the $H^s$-seminorm.
Chaker, Jamil, Silvestre, Luis
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Integro-differential polynomials and operators [PDF]
Proceedings of the twenty-first international symposium on Symbolic and algebraic computation, 2008 We propose two algebraic structures for treating integral operators in conjunction with derivations: The algebra of integro-differential polynomials describes nonlinear integral and differential operators together with initial values. The algebra of integro-differential operators can be used to solve boundary problems for linear ordinary differential ...
Markus Rosenkranz, Georg Regensburger
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L-operator integro-differential inequality for dissipativity of stochastic integro-differential equations [PDF]
Mathematical Inequalities & Applications, 2011 In this paper, Ito stochastic integro-differential equations are considered. By establishing an L -operator integro-differential inequality and using the properties of M -cone and stochastic analysis technique, we obtain some new sufficient conditions ensuring the exponential p -dissipativity of the stochastic integro-differential equations. An example
Liguang Xu, András Prékopa
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Axioms, 2021 In this paper, we consider systems of singularly perturbed integro-differential equations with a rapidly oscillating right-hand side, including an integral operator with a slowly varying kernel.
Abdukhafiz Bobodzhanov +2 more
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