Results 1 to 10 of about 39 (28)
Bifurcation into spectral gaps for strongly indefinite Choquard equations [PDF]
Communications in Contemporary Mathematics, 2022 : We consider the semilinear elliptic equations where I α is a Riesz potential, p ∈ ( N + αN , N + α N − 2 ), N ≥ 3, and V is continuous periodic. We assume that 0 lies in the spectral gap ( a, b ) of − ∆ + V .
Huxiao Luo, B. Ruf, C. Tarsi
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Existence results of Atangana-Baleanu fractional integro-differential inclusions of Sobolev type
Alexandria Engineering Journal, 2023 In this article, we scrutinise the study of the existence of Sobolev type Atangana-Baleanu fractional integro-differential inclusions in Banach space. The results are gained by using Martelli’s fixed point theorem and ρ-resolvent operators. An example is
V. Vijayaraj +3 more
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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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Non-convex perturbation to evolution problems involving Moreau’s sweeping process
Annals of the West University of Timisoara: Mathematics and Computer Science, 2023 Along this paper, we study an evolution inclusion governed by the so-called sweeping process. The right side of the inclusion contains a set-valued perturbation, supposed to be the external forces exercised on the system.
Boudjerida Nouha +2 more
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Study of Hilfer fractional evolution equations by the properties of controllability and stability
Alexandria Engineering Journal, 2021 This paper is devoted to discuss Hilfer fractional evolution equations through its controllability and stability in a Banach space. We achieve our claims and conclusions by first demonstrating the nature and uniqueness of the suggested set of equations ...
Pallavi Bedi +3 more
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Open Mathematics, 2020 This article deals with the exact controllability for a class of fractional stochastic evolution equations with nonlocal initial conditions in a Hilbert space under the assumption that the semigroup generated by the linear part is noncompact.
Ding Yonghong, Li Yongxiang
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Local attractivity for integro-differential equations with noncompact semigroups
Nonautonomous Dynamical Systems, 2020 In this paper, we are devoted to study the existence and local attractivity of solutions for a class of integro-differential equations.Under the situation that the nonlinear term satisfy Carathéodory conditions and a noncompactness measure condition, we ...
Diop Amadou +3 more
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New results on nonlocal functional integro-differential equations via Hilfer fractional derivative
Alexandria Engineering Journal, 2020 In this work, the existence of Hilfer fractional integro-differential equations with nonlocal conditions are discussed. To obtain such result, we use Mo¨nch fixed point theorem and the techniques of noncompactness. An application is presented to validate
R. Subashini +3 more
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Fracture with healing: A first step towards a new view of cavitation
Analysis & PDE, 2019 Recent experimental evidence on rubber has revealed that the internal cracks that arise out of the process often referred to as cavitation can actually heal.
G. Francfort +2 more
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Exact solutions for the ion sound Langmuir wave model by using two novel analytical methods
Results in Physics, 2020 In the present paper, the system of equations for the ion sound and Langmuir waves (SEISLWs) is considered to obtain the new solitary wave solutions of the non-linear evolution equations. Here, we used the relatively two new analytical methods to achieve
A. Tripathy, S. Sahoo
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