Asymptotic analysis of Sturm–Liouville problem with nonlocal integral-type boundary condition
Nonlinear Analysis, 2021 In this study, we obtain asymptotic formulas for eigenvalues and eigenfunctions of the one-dimensional Sturm–Liouville equation with one classical-type Dirichlet boundary condition and integral-type nonlocal boundary condition.
Artūras Štikonas, Erdoğan Şen
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Large deviations for the stochastic functional integral equation with nonlocal condition [PDF]
Arab Journal of Mathematical Sciences, 2022 Purpose – The purpose of this paper is to study large deviations for the solution processes of a stochastic equation incorporated with the effects of nonlocal condition.
Gopal Shruthi, Murugan Suvinthra
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Efficient results on Hilfer pantograph model with nonlocal integral condition
Alexandria Engineering Journal, 2023 The optimistic plan of this work reveals the solvability conditions of Hilfer fractional pantograph integrodifferential equations of type 0≤q2≤1 and order ...
Kottakkaran Sooppy Nisar
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On a Boundary Value Problem of Hybrid Functional Differential Inclusion with Nonlocal Integral Condition [PDF]
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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Investigation of the spectrum of the Sturm–Liouville problem with a nonlocal integral condition
Lietuvos Matematikos Rinkinys, 2013 This paper presents some new results on the spectrum for the second order dif-ferential problem with one integral type nonlocal boundary condition (NBC).
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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On Fučík type spectrum for problem with integral nonlocal boundary condition
Nonlinear Analysis, 2019 The Fučík equation x' '= -μ x+λ x- with two types of nonlocal boundary value conditions are considered. The Fučík type spectrum for both problems are constructed. The visualization of the spectrum for some values of parameter γ is provided.
Natalija Sergejeva, Sigita Pečiulytė
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Mathematics, 2021 It is well known that Stochastic equations had many useful applications in describing numerous events and problems of real world, and the nonlocal integral condition is important in physics, finance and engineering.
Ahmed M. A. El-Sayed, Hoda A. Fouad
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Lietuvos Matematikos Rinkinys, 2021 In this paper, relations between discrete Sturm--Liouville problem with nonlocal integral boundary condition characteristics (poles, critical points, spectrum curves) and graphs characteristics (vertices, edges and faces) were found. The previous article
Jonas Vitkauskas, Artūras Štikonas
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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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