Results 71 to 80 of about 5,722 (217)
Positive solutions of a boundary value problem with integral boundary conditions [PDF]
, 2011 We consider boundary-value problems studied in a recent paper. We show that some existing theory developed by Webb and Infante applies to this problem and we use the known theory to show how to find improved estimates on parameters μ*, λ so ...
Webb, J.
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Sturm’s Theorems for Fractal Differential Equations
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this paper, we investigate the spectral properties of the fractal Sturm’s problem by employing the fractal derivative. We establish and prove the fractal analogues of Sturm’s separation and Sturm’s comparison theorems. Furthermore, the self‐adjointness of the corresponding fractal differential operator is demonstrated.
Mehmet Kocabiyik, Özcan Gelişgen
wiley +1 more source
Convolution algebras arising from Sturm-Liouville transforms and applications
International Journal of Mathematics and Mathematical Sciences, 2001 A regular Sturm-Liouville eigenvalue problem gives rise to a related linear integral transform. Churchill has shown how such an integral transform yields, under certain circumstances, a generalized convolution operation.
Jason P. Huffman, Henry E. Heatherly
doaj +1 more source
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 high-speed method for eigenvalue problems. IV. Sturm-Liouville-type differential equations
, 2019 We present a new version MEV4 of the program package MEV3 by Milne's method generalized for the eigenvalue problem of the linear differential equation of the Sturm-Liouville-type.
T. Yano (8091596) +7 more
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On a fractional hybrid version of the Sturm–Liouville equation
Advances in Difference Equations, 2020 It is well known that the Sturm–Liouville equation has many applications in different areas of science. Thus, it is important to review different versions of the well-known equation.
Zohreh Zeinalabedini Charandabi +2 more
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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
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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
, 2010 碩士這篇論文是配合上解及下解(Upper and Lower Solution) 找出適當的算子，再利用 Schauder 定點定理，探討p-Laplacian算子方程在Sturm-Liouville-Like四點邊界值下對稱正解的存在性。In this paper, the Sturm–Liouville-like four-point boundary value problem with a p-Laplacian operator.
蕭宇珊; Shiau, Yu-shan
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