Results 61 to 70 of about 1,020 (214)
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
Bell Polynomial Approach and Wronskian Technique to Good Boussinesq Equation [PDF]
, 2023 The elementary and systematic binary Bell polynomial approach is applied to the good Boussinesq equation. The bilinear representation, $n$-soliton solutions, bilinear B\"acklund transformation, Lax pair and infinite conservation laws of the good ...
Qin, Zhenyun, Dai, Xiaotian
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q-Dominant and q-recessive matrix solutions for linear quantum systems
Electronic Journal of Qualitative Theory of Differential Equations, 2007 In this study, linear second-order matrix $q$-difference equations are shown to be formally self-adjoint equations with respect to a certain inner product and the associated self-adjoint boundary conditions.
Douglas Anderson, L. M. Moats
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On extension of Wronskian matrices [PDF]
Bulletin of the American Mathematical Society, 1943 Not ...
openaire +3 more sources
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 +2 more
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On second-order linear Stieltjes differential equations with non-constant coefficients
Open MathematicsIn this work, we define the notions of Wronskian and simplified Wronskian for Stieltjes derivatives and study some of their properties in a similar manner to the context of time scales or the usual derivative.
Fernández Francisco J. +2 more
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Exact quantization and analytic continuation
Journal of High Energy Physics, 2023 In this paper we give a streamlined derivation of the exact quantization condition (EQC) on the quantum periods of the Schrödinger problem in one dimension with a general polynomial potential, based on Wronskian relations.
Barak Gabai, Xi Yin
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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 +3 more
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Wronskian-type formula for inhomogeneous equations
, 2020 It is known that the transfer-matrix eigenvalues of the isotropic open Heisenberg quantum spin-1/2 chain with nondiagonal boundary magnetic fields satisfy a equation with an inhomogeneous term.
Nepomechie, Rafael I
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