Conditioning Analysis of Nonlocal Integral Operators in Fractional Sobolev Spaces
SIAM Journal on Numerical Analysis, 2014 We study the conditioning of nonlocal integral operators with singular and integrable kernels in fractional Sobolev spaces. These operators are used, for instance, in peridynamics formulation and nonlocal diffusion. In one dimension (1D), we present sharp quantification of the extremal eigenvalues in all three parameters: size of nonlocality, mesh size,
Burak Aksoylu, Zuhal Unlu
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Third order problems with nonlocal conditions of integral type [PDF]
Boundary Value Problems, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boucherif, Abdelkader +3 more
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An eigenvalue problem for the differential operator with an integral condition
Lietuvos Matematikos Rinkinys, 2012 We analyze solution of a two-dimensional parabolic equation with a nonlocal integral condition by a locally one-dimensional method. The main aim of the paper is to deduce stability conditions of a system of one-dimensional equations with one integral ...
Kristina Jakubėlienė
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Fractional Langevin Equations with Nonlocal Integral Boundary Conditions [PDF]
Mathematics, 2019 In this paper, we investigate a class of nonlinear Langevin equations involving two fractional orders with nonlocal integral and three-point boundary conditions. Using the Banach contraction principle, Krasnoselskii’s and the nonlinear alternative Leray Schauder theorems, the existence and uniqueness results of solutions are proven.
Ahmed Salem +2 more
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Nonlinear Analysis, 2008 In this paper the Sturm-Liouville problem with one classical and the other nonlocal two-point or integral boundary condition is investigated. Critical points of the characteristic function are analyzed.
S. Pečiulytė +2 more
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An inverse boundary value problem for transverse vibrations of a bar
Boundary Value Problems, 2022 In this article, we study an inverse problem (IP) for a fourth-order hyperbolic equation with nonlocal boundary conditions. This IP is reduced to the not self-adjoint boundary value problem (BVP) with corresponding boundary condition.
Yashar T. Mehraliyev +4 more
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Stability of Difference Schemes for Bitsadze-Samarskii Type Nonlocal Boundary Value Problem Involving Integral Condition [PDF]
, 2014 In this study, the stable difference schemes for the numerical solution of Bitsadze-Samarskii type nonlocal boundary-value problem involving integral condition for the elliptic equations are studied.
Ozturk, Elif, Ashyralyev, Allaberen
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On a Nonlocal Boundary Value Problem of a State-Dependent Differential Equation
Mathematics, 2021 In this paper, the existence of absolutely continuous solutions and some properties will be studied for a nonlocal boundary value problem of a state-dependent differential equation. The infinite-point boundary condition and the Riemann–Stieltjes integral
Ahmed El-Sayed +2 more
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Nonlinear mixed Volterra-Fredholm integrodifferential equation with nonlocal condition [PDF]
, 2012 summary:The aim of the present paper is to investigate the global existence of mild solutions of nonlinear mixed Volterra-Fredholm integrodifferential equations, with nonlocal condition.
Dhakne, Machindra B., Tidke, Haribhau L.
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On a multipoint nonlocal initial value problem for a singularly-perturbed first-order ODE [PDF]
E-Journal of Analysis and Applied Mathematics, 2019 A linear first order ordinary differential equation (ODE) with a positive parameter $\varepsilon$ and a multipoint nonlocal initial value condition (NLIVC) is considered.
Dovlet M. Dovletov
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