Results 21 to 30 of about 5,416,832 (202)

On the Finite Orthogonality of q-Pseudo-Jacobi Polynomials

Mathematics, 2020
Using the Sturm–Liouville theory in q-difference spaces, we prove the finite orthogonality of q-Pseudo Jacobi polynomials. Their norm square values are then explicitly computed by means of the Favard theorem.
Mohammad Masjed-Jamei, Nasser Saad, Wolfram Koepf, Fatemeh Soleyman   +3 more
doaj   +1 more source

Non-classical periodic boundary value problems with impulsive conditions

Journal of New Results in Science, 2023
This study investigates some spectral properties of a new type of periodic Sturm-Liouville problem. The problem under consideration differs from the classical ones in that the differential equation is given on two disjoint segments that have a common end,
Sevda Nur Öztürk, Oktay Mukhtarov, Kadriye Aydemir   +2 more
doaj   +1 more source

Sturm-Liouville difference equations having Bessel and hydrogen atom potential type

Open Physics, 2018
In this work, we bring a different approach for Sturm-Liouville problems having Bessel and hydrogen atom type and we provide a basis for direct and inverse problems.
Bas Erdal, Ozarslan Ramazan, Baleanu Dumitru   +2 more
doaj   +1 more source

Boundary value problems of quaternion-valued differential equations: solvability and Green’s function

Boundary Value Problems, 2023
This paper is associated with Sturm–Liouville type boundary value problems and periodic boundary value problems for quaternion-valued differential equations (QDEs).
Jie Liu, Siyu Sun, Zhibo Cheng
doaj   +1 more source

Spectral analysis of the matrix Sturm–Liouville operator

Boundary Value Problems, 2019
The self-adjoint matrix Sturm–Liouville operator on a finite interval with a boundary condition in general form is studied. We obtain asymptotic formulas for the eigenvalues and the weight matrices of the considered operator.
Natalia P. Bondarenko
doaj   +1 more source

Coincidence Theory of a Nonlinear Periodic Sturm–Liouville System and Its Applications

Axioms, 2022
Based on the second derivative, this paper directly establishes the coincidence degree theory of a nonlinear periodic Sturm–Liouville (SL) system. As applications, we study the existence of periodic solutions to the S–L system with some special nonlinear
Kaihong Zhao
doaj   +1 more source

On the existence of generalised syzygies in the planar three-body problem

Comptes Rendus. Mathématique, 2023
We consider the Newtonian planar three-body problem. One defines a generalised syzygy as a configuration where the three bodies or their velocities become collinear.
Tsygvintsev, Alexei
doaj   +1 more source

Study on Infinitely Many Solutions for a Class of Fredholm Fractional Integro-Differential System

Fractal and Fractional, 2022
This paper deals with a class of nonlinear fractional Sturm–Liouville boundary value problems. Each sub equation in the system is a fractional partial equation including the second kinds of Fredholm integral equation and the p-Laplacian operator ...
Dongping Li, Yankai Li, Fangqi Chen
doaj   +1 more source

Existence of solutions for subquadratic convex or $B$-concave operator equations and applications to second order Hamiltonian systems

Electronic Journal of Qualitative Theory of Differential Equations, 2020
This paper investigates solutions for subquadratic convex or $B$-concave operator equations. First, some existence results are obtained by the index theory and the critical point theory.
Mingliang Song
doaj   +1 more source

The Solutions of Sturm-Liouville Boundary-Value Problem for Fourth-Order Impulsive Differential Equation via Variational Methods

Abstract and Applied Analysis, 2014
The Sturm-Liouville boundary-value problem for fourth-order impulsive differential equations is studied. The existence results for one solution and multiple solutions are obtained.
Yu Tian, Dongpo Sun
doaj   +1 more source