Results 61 to 70 of about 465 (169)
Numerical Simulations of Coupled Solitary Waves With Spatially Modulated Non‐Linearity
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.This study investigates the dynamics of two coupled solitary waves propagating in media characterised by spatially modulated non‐linearity and variable dispersion. By employing numerical simulations of a system of coupled non‐linear Schrödinger equations (NLSEs) with varying coefficients, we analyse how inhomogeneous physical properties influence ...
Ngaka John Nchejane +2 more
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Space versus energy oscillations of Prufer phases for matrix Sturm-Liouville and Jacobi operators
Electronic Journal of Differential Equations, 2020 This note considers Sturm oscillation theory for regular matrix Sturm-Liouville operators on finite intervals and for matrix Jacobi operators. The number of space oscillations of the eigenvalues of the matrix Prufer phases at a given energy, defined ...
Hermann Schulz-Baldes, Liam Urban
doaj
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
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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
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A Spectral Theory for a λ-Rational Sturm–Liouville Problem
Journal of Differential Equations, 2001 Linearizing the Navier-Stokes equations with a magnetic field for a velocity field of a plasma with axial symmetry, the axial and the azimuthal components of the velocity can be eliminated at the expense of a rational dependence on the eigenvalue parameter in the equation for the remaining velocity component. Corresponding eigenvalue problems such as \[
Adamjan, V., Langer, Heinz, Langer, M.
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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
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Differential Methods for HU Stability of Backward Shift Operators via Weight Sequences
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper introduces a new concept of jth weighted backward shift operators on weighted Hardy spaces Hμ2. We introduce the operator Ωγj and characterize its boundedness in certain sequences associated with the weights. After that, we establish HU stability of the jth weighted backward shift operator Υenj and provide conditions under which stability ...
Zohreh Kefayati +4 more
wiley +1 more source
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
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Electronic Journal of Differential Equations, 2012 Using critical point theory due to Bonanno [3], we prove the existence of at least one non-trivial solution for a class of two-point boundary-value problems for fourth-order Sturm-Liouville type equations.
Shapour Heidarkhani
doaj
Revista Técnica de la Facultad de Ingeniería, 2011 F. H. Jackson has introduced a system of numbers called ''basic numbers'' and the corresponding operations of ''basic differentiation'' and ''basic integration'' [see \textit{T. W. Chaundy}, J. Lond. Math. Soc., II. Ser. 37, 126-128 (1962; Zbl 0099.246), for references to the original work of F. H. Jackson].
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