Results 11 to 20 of about 1,164 (161)
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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Nonlocal boundary value problem in terms of flow for Sturm-Liouville operator in differential and difference statements [PDF]
E-Journal of Analysis and Applied Mathematics, 2019 Sturm-Liouville operator with second kind of nonlocal boundary value conditions is considered. For the classical solution, a priori estimate is established and unique existence is proved.
Dovlet M. Dovletov
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Nonlinear fractional differential equations with nonlocal integral boundary conditions [PDF]
Advances in Difference Equations, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Suli, Li, Huilai, Dai, Qun
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Asymptotic analysis of Sturm–Liouville problem with nonlocal integral-type boundary condition
Nonlinear Analysis: Modelling and Control, 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. We investigate solutions of special initial value problem and find asymptotic formulas of arbitrary order.
Artūras Štikonas, Erdoğan Şen
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Closed-Form Solution of the Bending Two-Phase Integral Model of Euler-Bernoulli Nanobeams
Algorithms, 2022 Recent developments have shown that the widely used simplified differential model of Eringen’s nonlocal elasticity in nanobeam analysis is not equivalent to the corresponding and initially proposed integral models, the pure integral model and the two ...
Efthimios Providas
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Stationary problems with various nonlocal boundary conditions
Lietuvos Matematikos Rinkinys, 2003 In this paper we investigate one-dimensional stationary differential problems with various nonlocal boundary conditions and finite difference schemes for them.
Artūras Štikonas +2 more
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NONLINEAR ELLIPTIC EQUATION WITH NONLOCAL INTEGRAL BOUNDARY CONDITION DEPENDING ON TWO PARAMETERS
Mathematical Modelling and Analysis, 2022 In this paper, the two-dimensional nonlinear elliptic equation with the boundary integral condition depending on two parameters is solved by finite difference method. The main aim of this paper is to investigate the conditions under those all eigenvalues of corresponding difference eigenvalue problem are positive.
Pupalaigė, Kristina +3 more
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Positive solutions of nonlocal boundary value problems involving integral conditions [PDF]
Nonlinear Differential Equations and Applications NoDEA, 2008 We establish the existence of multiple positive solutions of nonlinear equations of the form $$-u^{\prime\prime}(t) = g(t)f(t, u(t)), t \in (0, 1),$$ where g, f are non-negative functions, subject to various nonlocal boundary conditions. The common feature is that each can be written as an integral equation, in the space C[0, 1], of the form
WEBB J. R. L, INFANTE, GENNARO
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Electronic Journal of Qualitative Theory of Differential Equations, 2011 This paper studies a nonlinear fractional differential equation of an arbitrary order with four-point nonlocal integral boundary conditions. Some existence results are obtained by applying standard fixed point theorems and Leray-Schauder degree theory ...
Bashir Ahmad, Sotiris Ntouyas
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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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