Results 71 to 80 of about 5,326 (220)
Fundamentals of Right Hahn q‐Symmetric Calculus and Related Inequalities
Journal of Function Spaces, Volume 2026, Issue 1, 2026.Hahn symmetric quantum calculus is a generalization of symmetric quantum calculus. Motivated by the Hahn symmetric quantum calculus, we present the right Hahn symmetric derivative and integral, which are novel definitions for derivative and definite integral in Hahn symmetric quantum calculus.
Muhammad Nasim Aftab +3 more
wiley +1 more source
A Survey of Nonlinear Sturm-Liouville Equations
, 2013 [[abstract]]This note gives a brief survey of existence, uniqueness and bifurcation results for nonlinear Sturm-Liouville equations. Early in 1960, Nehari made an interesting proposal to study solutions with a prescribed number of nodes.
Chen, Chao-Nien
core
Banded Matrices and Discrete Sturm-Liouville Eigenvalue Problems
Advances in Difference Equations, 2009 We consider eigenvalue problems for self-adjoint Sturm-Liouville difference equations of any even order. It is well known that such problems with Dirichlet boundary conditions can be transformed into an algebraic eigenvalue problem for a banded, real ...
Werner Kratz
doaj +2 more sources
Convergence of eigenfunction expansions corresponding to nonlinear Sturm-Liouville operators
Electronic Journal of Differential Equations, 2004 It is well known that the classical linear Sturm-Liouville eigenvalue problem is self-adjoint and possesses a family of eigenfunctions which form an orthonormal basis for the space L_2.
Alexander S. Makin, H. Bevan Thompson
doaj
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this work, we present some analytical and topological framework for fractional nonlinear systems on compact‐open Banach spaces. By using the locally compact property of these spaces, the continuity and compactness of nonlinear operators are rigorously established.
Faten H. Damag +5 more
wiley +1 more source
在有限區間向量型Sturm-Liouville方程式的唯一性定理
, 2013 博士關於定義在區間的非對稱形Sturm-Liouville 微分方程式的反問題研究及學習，Yurko ( [24] , 2006)利用Weyl矩陣，提出了矩陣邊界值問題的反問題有唯一性的定理。 在本篇論文，首先；對於Sturm-Liouville矩陣微分方程式含有一般的邊界條件的反問題，我們將証明ㄧ般的h1 , H1，亦可得到Q(x)有唯一性。利用矩陣型式邊界值反問題的唯一性，我們主要工作是在向量微分方程式邊界值反問題上，探求向量頻譜(spectral sets)與位階函數Q(x)唯一性的關係 ...
Shieh, Chung-Tsun +1 more
core
The Sturm–Liouville Hierarchy of Evolution Equations and Limits of Algebro-Geometric Initial Data ⋆
, 2014 . The Sturm–Liouville hierarchy of evolution equations was introduced in [Adv. Nonlinear Stud. 11 (2011), 555–591] and includes the Korteweg–de Vries and the Camassa– Holm hierarchies.
Russell Johnson +5 more
core +1 more source
Controllability and Observability of Nonautonomous Riesz-Spectral Systems
Abstract and Applied Analysis, 2018 There are many industrial and biological reaction diffusion systems which involve the time-varying features where certain parameters of the system change during the process.
Sutrima Sutrima +2 more
doaj +1 more source
Scattering theory of impulsive Sturm-Liouville equations
Filomat, 2017 In this paper, we investigate scattering theory of the impulsive Sturm-Liouville boundary value problem (ISBVP). In particular, we find the Jost solution and the scattering function of this problem. We also study the properties of the Jost function and the scattering function of this ISBVP.
Öznur, Güler Başak +2 more
openaire +3 more sources
On Hermite–Hadamard Inequalities for Generalized Quantum Interval Calculus
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we develop the theory of β,gH‐calculus for interval‐valued functions by combining the β‐functions with the generalized Hukuhara difference. Within this framework, we establish various properties related to β,gH‐differentiation and β,gH‐integration.
Muhammad Umer Azam +4 more
wiley +1 more source