Results 71 to 80 of about 15,759 (194)

Sturm-Liouville Problem for Stationary Differential Operator with Nonlocal Two-Point Boundary Conditions

Nonlinear Analysis, 2006
The Sturm-Liouville problem with various types of two-point boundary conditions is considered in this paper. In the first part of the paper, we investigate the Sturm-Liouville problem in three cases of nonlocal two-point boundary conditions.
S. Pečiulytė, A. Štikonas
doaj   +1 more source

Studies on Fractional Differential Equations With Functional Boundary Condition by Inverse Operators

Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 11161-11170, 30 July 2025.
ABSTRACT Fractional differential equations (FDEs) generalize classical integer‐order calculus to noninteger orders, enabling the modeling of complex phenomena that classical equations cannot fully capture. Their study has become essential across science, engineering, and mathematics due to their unique ability to describe systems with nonlocal ...
Chenkuan Li
wiley   +1 more source

A New Approach for Linear Eigenvalue Problems and Nonlinear Euler Buckling Problem

Abstract and Applied Analysis, 2012
We propose a numerical Taylor's Decomposition method to compute approximate eigenvalues and eigenfunctions for regular Sturm-Liouville eigenvalue problem and nonlinear Euler buckling problem very accurately for relatively large step sizes.
Meltem Evrenosoglu Adiyaman, Sennur Somali   +1 more
doaj   +1 more source

Existence and uniqueness of solution for Sturm–Liouville fractional differential equation with multi-point boundary condition via Caputo derivative

Advances in Difference Equations, 2019
We investigate the existence and uniqueness of a solution for a Sturm–Liouville fractional differential equation with a multi-point boundary condition via the Caputo derivative; existence and uniqueness results for the given problem are obtained via the ...
Ahmed M. A. El-Sayed, Fatma M. Gaafar
doaj   +1 more source

Existence and Orbital Stability of Standing‐Wave Solutions of the Nonlinear Logarithmic Schrödinger Equation On a Tadpole Graph

Studies in Applied Mathematics, Volume 155, Issue 1, July 2025.
ABSTRACT This work aims to study some dynamical aspects of the nonlinear logarithmic Schrödinger equation (NLS‐log) on a tadpole graph, namely, a graph consisting of a circle with a half‐line attached at a single vertex. By considering Neumann–Kirchhoff boundary conditions at the junction, we show the existence and the orbital stability of standing ...
Jaime Angulo Pava, Andrés Gerardo Pérez Yépez   +1 more
wiley   +1 more source

Fractional Sturm-Liouville operators on compact star graphs

Demonstratio Mathematica
In this article, we examine two problems: a fractional Sturm-Liouville boundary value problem on a compact star graph and a fractional Sturm-Liouville transmission problem on a compact metric graph, where the orders αi{\alpha }_{i} of the fractional ...
Mutlu Gökhan, Uğurlu Ekin
doaj   +1 more source

Impulsive q-Sturm-Liouville problems

Applicable Analysis and Discrete Mathematics
In this study, impulsive q-Sturm?Liouville problems are considered. First, symmetry is obtained with the help of boundary conditions. Then, the existence and uniqueness problem for such equations is discussed. Finally, eigenfunction expansion was obtained with the help of characteristic determinant and Green?s function.
Allahverdiev, Bilender P., Isayev, Hamlet A., Tuna, Hüseyin   +2 more
openaire   +2 more sources

Inverse Sturm-Liouville problems with fixed boundary conditions

Electronic Journal of Differential Equations, 2015
Necessary and sufficient conditions for two sequences $\{\mu_n\}_{n=0}^\infty$ and $\{ a_n\}_{n=0}^\infty$ to be the spectral data for a certain Sturm-Liouville problem are well known.
Yuri A. Ashrafyan, Tigran N. Harutyunyan
doaj  

Numerical study of the Sturm–Liouville problem [PDF]

Iranian Journal of Numerical Analysis and Optimization
The article discusses the general Sturm–Liouville problem. To solve it numerically, a new algorithm is proposed, which is based on the varia-tional principle and does not use saturation.
S.D. Algazin, A.A. Sinitsyn
doaj   +1 more source

A Nonlinear Sturm-Liouville Problem [PDF]

Indiana University Mathematics Journal, 1971
Macki, J. W., Waltman, P.
openaire   +2 more sources