Results 81 to 90 of about 178 (161)

A new integrable model of long wave-short wave interaction and linear stability spectra. [PDF]

Proc Math Phys Eng Sci, 2021
Caso-Huerta M, Degasperis A, Lombardo S, Sommacal M.   +3 more
europepmc   +1 more source

A change of variables formula for Darboux integrals

, 1998
The formula \[ \overline {\int _{g(a)}^{g(b)}}f(x) dx \leq \overline {\int _a^b}f(g(t)) Dg(t) dt \] is proved for Darboux integrals. Here \(Dg\) is one of the Dini derivates, \(f\) and \(Dg\) are assumed to be bounded, and at a.e.\ point of \([a,b]\) at least one of the functions \(f(g(\cdot))\) or \(Dg(\cdot)\) is assumed to be continuous.
openaire   +2 more sources

The Ross-Darboux-Stieltjes Integral

Motivated by the limitations of the traditional definitions of the Riemann-Stieltjes and Darboux-Stieltjes integrals, we introduce a generalized Darboux-Stieltjes integral that is equivalent to an earlier generalization by Ross \cite{Ross}. Our definition builds upon an approach to the Darboux-Stieltjes integral recently introduced by the first author ...
Cruz-Uribe, David, Glidewell, Jacob
openaire   +2 more sources

Smooth and Discrete Cone-Nets. [PDF]

Results Math, 2023
Kilian M, Müller C, Tervooren J.
europepmc   +1 more source

Dispersive Hydrodynamics of Soliton Condensates for the Korteweg-de Vries Equation. [PDF]

J Nonlinear Sci, 2023
Congy T, El GA, Roberti G, Tovbis A.
europepmc   +1 more source

A super Degasperis-Procesi equation and related integrable systems. [PDF]

Proc Math Phys Eng Sci, 2021
Gao B, Tian K, Liu QP.
europepmc   +1 more source

Nonlocal complex short pulse equation in [Formula: see text]-symmetry like symmetry breaking, breather-grammian interactions and soliton solutions. [PDF]

Sci Rep
Amjad Z, Javed F, Pamucar D, Alosaimi M, Ashebo MA.   +4 more
europepmc   +1 more source

Multiple lump and interaction solutions for fifth-order variable coefficient nonlinear-Schrödinger dynamical equation. [PDF]

Opt Quantum Electron, 2022
Rizvi STR, Seadawy AR, Ali K, Ashraf MA, Althubiti S.   +4 more
europepmc   +1 more source

Thermodynamics à la Souriau on Kähler Non-Compact Symmetric Spaces for Cartan Neural Networks. [PDF]

Entropy (Basel)
Fré PG, Sorin AS, Trigiante M.
europepmc   +1 more source

Exact soliton, lump, and breather solutions of the (3 + 1)-dimensional Jimbo-Miwa equation via the bilinear neural network method. [PDF]

Sci Rep
Hussein HH, Mekawey H, Elsheikh A.
europepmc   +1 more source