Results 11 to 20 of about 1,919 (287)
Large deviations for the stochastic functional integral equation with nonlocal condition [PDF]
Arab Journal of Mathematical Sciences, 2022 PurposeThe purpose of this paper is to study large deviations for the solution processes of a stochastic equation incorporated with the effects of nonlocal condition.Design/methodology/approachA weak convergence approach is adopted to establish the Laplace principle, which is same as the large deviation principle in a Polish space.
Gopal Shruthi, Murugan Suvinthra
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016 In this paper, we consider a problem for a one-dimensional hyperbolic equation with nonlocal integral condition of the second kind. Uniqueness and existence of a generalized solution are proved. In order to prove this statement we suggest a new approach.
Ludmila S Pulkina, Alesya E Savenkova
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Mathematical Modelling and Analysis, 2005 The Sturm‐Liouville problem with various types of nonlocal integral boundary conditions is considered in this paper. In the first part of paper we investigate Sturm‐Liouville problem with two cases of nonlocal integral boundary conditions.
S. Pečiulyte +2 more
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Reaction–diffusion equation with nonlocal boundary condition subject to PID-controlled bioreactor
Nonlinear Analysis, 2017 We study a system of two parabolic nonlinear reaction–diffusion equations subject to a nonlocal boundary condition. This system of nonlinear equations is used for mathematical modeling of biosensors and bioreactors.
Feliksas Ivanauskas +3 more
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Mathematics, 2021 In this work, we present a boundary value problem of hybrid functional differential inclusion with nonlocal condition. The boundary conditions of integral and infinite points will be deduced. The existence of solutions and its maximal and minimal will be
Ahmed M. A. El-Sayed +2 more
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Spectrum Curves for Sturm–Liouville Problem with Integral Boundary Condition
Mathematical Modelling and Analysis, 2015 We consider Sturm–Liouville problem with one integral type nonlocal boundary condition depending on three parameters γ (multiplier in nonlocal condition), ξ1, ξ2 ([ξ1, ξ2] is a domain of integration).
Agnė Skučaitė, Artūras Štikonas
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Alternating direction method for two-dimensional parabolic equation with nonlocal integral condition
Nonlinear Analysis, 2012 Two-dimensional parabolic equation with nonlocal condition is solved by alternating direction method in the rectangular domain. Values of the solution on the boundary points are bind with the integral of the solution in whole two-dimensional domain ...
Mifodijus Sapagovas +1 more
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Investigation of the spectrum for the Sturm-Liouville problem with one integral boundary condition
Nonlinear Analysis, 2010 In this paper, the Sturm–Liouville problem with one classical first type boundary condition and other nonlocal integral boundary conditions of two cases is investigated.
A. Skučaitė +3 more
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On the Eigenvalue Problem for One-Dimensional Differential Operator with Nonlocal Integral Condition
Nonlinear Analysis: Modelling and Control, 2004 The article investigates the eigenvalue problem for ordinary onedimensional differential operator with nonlocal integral condition. Such a problem is met in the literature quite rarely and is considerably less investigated. Also the conditions for existence of non-positive eigenvalue or multiple eigenvalues are obtained.
Čiupaila, Regimantas +2 more
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On nonlinear spectra for some nonlocal boundary value problems [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2008 We consider some second order nonlinear differential equation with nonlocal (integral) condition. This spectrum differs essentially from the known ones.
Natalija Sergejeva
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