Results 51 to 60 of about 412 (154)

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

On Finite Exceptional Orthogonal Polynomial Sequences Composed of Rational Darboux Transforms of Romanovski-Jacobi Polynomials

Axioms
The paper presents the united analysis of the finite exceptional orthogonal polynomial (EOP) sequences composed of rational Darboux transforms of Romanovski-Jacobi polynomials.
Gregory Natanson
doaj   +1 more source

The Johnson Equation, Fredholm and Wronskian Representations of Solutions, and the Case of Order Three

Advances in Mathematical Physics, 2018
We construct solutions to the Johnson equation (J) first by means of Fredholm determinants and then by means of Wronskians of order 2N giving solutions of order N depending on 2N-1 parameters. We obtain N order rational solutions that can be written as a
Pierre Gaillard
doaj   +1 more source

On extension of Wronskian matrices [PDF]

Bulletin of the American Mathematical Society, 1943
Not ...
openaire   +3 more sources

Optical Dromion Wave Solutions for the Stochastic Riemann Wave Equation With White Noise Stochastic Term/Random Variable Coefficients and Sensitivity Analysis

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This work introduces a nonlinear stochastic Riemann wave equation (SRWE) with particular novel solutions by using the white noise stochastic term. For the considered problem, we have used two computational methods, namely, the auxiliary equation (AE) method and the unified method (UM), for the exact solution and analyzed their various characteristics ...
Sara Salem Alzaid, Badr Saad T. Alkahtani, Pramita Mishra   +2 more
wiley   +1 more source

Existence, Uniqueness, Stability, and Numerical Solution of Second‐Order Quantum Difference Equations: A General Approach via the Riccati Method and Chebyshev Collocation

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we investigate the stability and numerical solution of second‐order linear nonhomogeneous equations with the general quantum B‐difference operator. We prove Hyers–Ulam stability (HU s) and Hyers–Ulam–Rassias stability (HUR s) for these equations using a Riccati equation approach and variation of parameters technique.
Karima M. Oraby, Amna Mohamed, Youssri Hassan Youssri, Smritijit Sen   +3 more
wiley   +1 more source

On Wronskians and $qq$-systems

, 2022
13 pages.
openaire   +2 more sources

On the ψ− Sheffer F− Polynomials and Their Degenerate Matrices

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this study, we systematically construct a novel framework within umbral calculus by integrating the structures of generalized F‐calculus and degenerate sequences. Utilizing Roman’s foundational approach to umbral calculus, we first introduce a new family of ψ − F− linear functionals and their corresponding ψ − F− differential operators on the ...
Semra Kuş, Smritijit Sen
wiley   +1 more source

Generalized Wronskians and modular curves

, 2022
Fokus ove teze su modularne krivulje i modularne forme za neku Fuchsovu grupu prve vrste \(\Gamma\), posebno za grupu \(\Gamma_0(N)\). Proučavamo Weierstrassove i \(n\)–Weierstrassove točke, \(n \in \mathbb{N}\), na krivulji \(\mathfrak{R}_{\Gamma}\) u ...
Mikoč, Damir
core  

Determinantal evaluation of four Wronskian matrices

Ukrains’kyi Matematychnyi Zhurnal, 2021
UDC 517.5 Two determinants of Wronskian matrices are evaluated when the matrix rows are partitioned into blocks.Analogous formulae are derived for the matrices involving compositions of formal power series as entries.  
openaire   +1 more source