Results 41 to 50 of about 3,611 (205)

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
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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
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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
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Bifurcation from zero or infinity in nonlinearizable Sturm–Liouville problems with indefinite weight

, 2021
Ziyatkhan S. Aliyev, Leyla Nasirova
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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
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On a Nonlocal Integral Operator Commuting with the Laplacian and the Sturm-Liouville Problem I: Low Rank Perturbations of the Operator [PDF]

, 2022
Lotfi Hermi, Naoki Saito
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A Nonlinear Sturm-Liouville Problem [PDF]

Indiana University Mathematics Journal, 1971
Macki, J. W., Waltman, P.
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Nonlinear discrete Sturm–Liouville problems

Journal of Mathematical Analysis and Applications, 2005
The paper is devoted to discrete boundary value problems of the form \[ \Delta\left[ p\left( t-1\right) \Delta y\left( t-1\right) \right] +q\left( t\right) y\left( t\right) +\lambda y\left( t\right) =f\left( y\left( t\right) \right) , \] \(t=a+1,\dots,b+1,\) subject to the boundary conditions \[ a_{11}y\left( a\right) +a_{12}\Delta y\left( a\right) =0,\
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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
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Approximate solution for Euler equations of stratified water via numerical solution of coupled KdV system

International Journal of Mathematics and Mathematical Sciences, 2003
We consider Euler equations with stratified background state that is valid for internal water waves. The solution of the initial-boundary problem for Boussinesq approximation in the waveguide mode is presented in terms of the stream function.
A. A. Halim, S. P. Kshevetskii, S. B. Leble   +2 more
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