Results 31 to 40 of about 5,416,832 (202)

MASALAH STURM -LIOUVILLE [PDF]

, 1995
Masalah sturm-Liouville terdiri atas masalah Sturm-Liouville regular dan singular. Dalam masalah sturm-Liouville regular koefisien-koefisien persamaannya kontinu pada interyal tertutup [a~b].
IRMA MARIA KUSUMA SAWITRI MILIK, 088910668
core   +1 more source

Study the properties of spectral characteristics and eigenfunctions for Sturm-Liouville boundary value problems

Wasit Journal for Pure Sciences
: In this study, we provide an overview of the Sturm-Liouville operator’s spectral theory on a finite interval. Also, we study the main spectral characteristics for the second-order differential operator, and we show that the eigenvalues and ...
khelan hussien
doaj   +1 more source

Propagation of internal gravity waves: Optimal vertical discretisation and grid design based on numerical error analysis

Quarterly Journal of the Royal Meteorological Society, EarlyView.
An energy‐conserving discrete framework for the vertical discretisation of stratified ocean models is developed using internal gravity‐wave theory. A β$$ \beta $$‐indexed family of schemes is analysed through perturbation theory, revealing optimal parameter choices and grid designs that reduce truncation errors significantly.
Gabriel Derrida, Laurent Debreu, Florian Lemarié, Jérome Chanut   +3 more
wiley   +1 more source

A Survey of Nonlinear Sturm-Liouville Equations [PDF]

, 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  

A Unified Approach to Solvability and Stability of Multipoint BVPs for Langevin and Sturm–Liouville Equations with CH–Fractional Derivatives and Impulses via Coincidence Theory

Fractal and Fractional
The Langevin equation is a model for describing Brownian motion, while the Sturm–Liouville equation is an important mechanical model. This paper focuses on the solvability and stability of nonlinear impulsive Langevin and Sturm–Liouville equations with ...
Kaihong Zhao, Juqing Liu, Xiaojun Lv
doaj   +1 more source

Singular Sturm–Liouville Theory on Manifolds

Journal of Differential Equations, 2001
The authors study the spectral properties of Schrödinger-type operators \(L=-\Delta_g +a(x)\) on a compact Riemannian manifold \((M,g)\), where \(a(x)\) is a real-valued potential defined and continuous, but not necessarily bounded, on \(\widehat M=M-\sigma\), where \(\Sigma\subseteq M\) is a set of measure zero. To be more precise, the paper addresses
Mazzeo, Rafe, McOwen, Robert
openaire   +2 more sources

On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces

Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 15358-15384, 15 September 2026.
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley   +1 more source

Bayesian Analysis of Infragravity Edge Waves

Journal of Geophysical Research: Oceans, Volume 131, Issue 9, September 2026.
Abstract Infragravity (IG) waves (periods nominally 25–250 s) are generated in shallow water by nonlinear difference‐frequency interactions between shorter period (nominally 4–25 s) incident sea‐swell waves. Previous studies show strong IG reflection from the beach face and detectable IG energy in alongshore‐propagating edge waves.
Cassandra S. Henderson, R. T. Guza, Bruce D. Cornuelle   +2 more
wiley   +1 more source

Fundamental Spectral Theory of Fractional Singular Sturm-Liouville Operator

Journal of Function Spaces and Applications, 2013
We give the theory of spectral properties for eigenvalues and eigenfunctions of Bessel type of fractional singular Sturm-Liouville problem. We show that the eigenvalues and eigenfunctions of the problem are real and orthogonal, respectively. Furthermore,
Erdal Bas
doaj   +1 more source

Uniqueness problem for accretive Schrödinger operators with complex singular coefficients

Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract This paper studies the uniqueness problem for the one‐dimensional Schrödinger operator associated with the formal differential expression l[u]=−u′′+qu+i[(ru)′+ru′]$l[u] =-u^{\prime \prime }+qu + i[(ru)^{\prime }+ru^{\prime }] $ in the complex Hilbert space L2(R)$L^{2}(\mathbb {R})$.
Vladimir Mikhailets, Volodymyr Molyboga
wiley   +1 more source