Results 1 to 10 of about 2,394 (115)

Asymptotic analysis of Sturm-Liouville problem with Dirichlet and nonlocal two-point boundary conditions

Mathematical Modelling and Analysis, 2023
In this study, we obtain asymptotic expansions for eigenvalues and eigenfunctions of the one–dimensional Sturm–Liouville equation with one classical Dirichlet type boundary condition and two-point nonlocal boundary condition.
Artūras Štikonas, Erdoğan Şen
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Sturm–Liouville problem with two point nonlocal second type boundary condition

Lietuvos Matematikos Rinkinys, 2005
The Sturm–Liouville problemwith one classical boundary condition and other two point second type nonlocal boundary conditions is considered in this paper. Three cases of nonlocal conditions are investigated.
Sigita Pečiulytė, Artūras Štikonas
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The effect of a new two-point nonlocal condition on the eigenvalue problem of the difference scheme for an elliptic partial differential equation

Alexandria Engineering Journal, 2022
In this paper, a new form of two-point nonlocal boundary conditions is presented. This condition generalizes a Dirichlet condition at one boundary and a mixed condition at the other one.
S.M. Helal, A. Elmekawy
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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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To Solve Forward and Backward Nonlocal Wave Problems with Pascal Bases Automatically Satisfying the Specified Conditions

Mathematics, 2022
In this paper, the numerical solutions of the backward and forward non-homogeneous wave problems are derived to address the nonlocal boundary conditions.
Chein-Shan Liu, Chih-Wen Chang, Yung-Wei Chen, Jian-Hung Shen   +3 more
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Blowup Analysis for a Semilinear Parabolic System with Nonlocal Boundary Condition

Boundary Value Problems, 2009
This paper deals with the properties of positive solutions to a semilinear parabolic system with nonlocal boundary condition. We first give the criteria for finite time blowup or global existence, which shows the important influence of nonlocal boundary.
Zhaoyin Xiang, Yulan Wang
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Investigation of complex eigenvalues for a stationary problem with two-point nonlocal boundary condition

Lietuvos Matematikos Rinkinys, 2011
The Sturm–Liouville problem with one classical and another two-point nonlocal boundary condition is considered in this paper. These problems with nonlocal boundary condition are not self-adjoint, so the spectrum has complex points. We investigate how the
Kristina Skučaitė-Bingelė, Artūras Štikonas   +1 more
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On positive eigenfunctions of Sturm‐Liouville problem with nonlocal two‐point boundary condition

Mathematical Modelling and Analysis, 2007
Positive eigenvalues and corresponding eigenfunctions of the linear Sturm‐Liouville problem with one classical boundary condition and another nonlocal two‐point boundary condition are considered in this paper.
Sigita Pečiulytė, Artūras Štikonas
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Relations between Spectrum Curves of Discrete Sturm-Liouville Problem with Nonlocal Boundary Conditions and Graph Theory. II

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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Chebyshev iteration for the problem with nonlocal boundary condition

Lietuvos Matematikos Rinkinys, 2004
We considered Poisson differential equation with Dirichlet boundary conditions and one nonlocal boundary condition. Finite-difference scheme was investigated for this problem.
Mifodijus Sapagovas, Artūras Štikonas, Olga Štikonienė   +2 more
doaj   +3 more sources