Results 11 to 20 of about 2,303 (168)

New Inner Product Quasilinear Spaces on Interval Numbers

open access: yesJournal of Function Spaces, 2016
Primarily we examine the new example of quasilinear spaces, namely, “IRn interval space.” We obtain some new theorems and results related to this new quasilinear space.
Hacer Bozkurt, Yılmaz Yilmaz
doaj   +1 more source

Existence of ground state solutions for a class of quasilinear elliptic systems in Orlicz-Sobolev spaces

open access: yesBoundary Value Problems, 2017
In this paper, we investigate the following nonlinear and non-homogeneous elliptic system: { − div ( a 1 ( | ∇ u | ) ∇ u ) + V 1 ( x ) a 1 ( | u | ) u = F u ( x , u , v ) in  R N , − div ( a 2 ( | ∇ v | ) ∇ v ) + V 2 ( x ) a 2 ( | v | ) v = F v ( x , u ,
Liben Wang, Xingyong Zhang, Hui Fang
doaj   +1 more source

Quasilinear Inner Product Spaces and Hilbert Quasilinear Spaces [PDF]

open access: yesInternational Journal of Analysis, 2014
Aseev launched a new branch of functional analysis by introducing the theory of quasilinear spaces in the framework of the topics of norm, bounded quasilinear operators and functionals (Aseev (1986)). Furthermore, some quasilinear counterparts of classical nonlinear analysis that lead to such result as Frechet derivative and its applications were ...
Hacer Bozkurt   +2 more
openaire   +1 more source

Soft Quasilinear Spaces and Soft Normed Quasilinear Spaces

open access: yesAdıyaman University Journal of Science, 2020
In this study, a recent concepts of soft quasilinear spaces and soft proper quasilinear spaces are presented. Further, soft quasi vectors in soft quasilinear spaces are investigated, and several related properties are examined such as quasilinear dependent and quasilinear independent.
openaire   +4 more sources

Quasilinearization method and WKB [PDF]

open access: yesComputer Physics Communications, 2006
Solutions obtained by the quasilinearization method (QLM) are compared with the WKB solutions. While the WKB method generates an expansion in powers of h, the quasilinearization method (QLM) approaches the solution of the nonlinear equation obtained by casting the Schroedinger equation into the Riccati form by approximating nonlinear terms by a ...
Krivec, R., Mandelzweig, V. B.
openaire   +2 more sources

Notes on the Solutions of the First Order Quasilinear Differential Equations

open access: yesRatio Mathematica, 2018
The system of the quasilinear differential first order equations with the antisymetric matrix and the same element f (t,x(t)) on the main diagonal have the property that r'(t) = f (t,x(t))r(t), where r(t) ≥ 0 is the po- lar function of the system.
Alena Vagaská, Dusan Mamrilla
doaj   +1 more source

Expanding-box Quasilinear Model of the Solar Wind

open access: yesThe Astrophysical Journal, 2023
The expanding-box model of the solar wind has been adopted in the literature within the context of magnetohydrodynamics, hybrid, and full particle-in-cell simulations to investigate the dynamic evolution of the solar wind.
J. Seough   +3 more
doaj   +1 more source

Ground state solutions for a quasilinear Kirchhoff type equation

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2016
We study the ground state solutions of the following quasilinear Kirchhoff type equation \[ -\left(1+b\int_{\mathbb{R}^{3}}|\nabla u|^2dx\right)\Delta u + V(x)u-[\Delta(u^2)]u=|u|^{10}u+\mu |u|^{p-1}u,\qquad x\in \mathbb{R}^3, \] where $b\geq 0$ and $\mu$
Hongliang Liu, Haibo Chen, Qizhen Xiao
doaj   +1 more source

Multiple Sign-Changing Solutions for Quasilinear Equations of Bounded Quasilinearity

open access: yesAnalysis in Theory and Applications, 2021
The existence of an infinite sequence of sign-changing solutions are proved for a class of quasilinear elliptic equations under suitable conditions on the quasilinear coefficients and the nonlinearitywhere $\Omega\subset\mathbb{R}^N$ is a bounded domain with smooth boundary, and we useThe main interest of this paper is for the case of bounded ...
Liu, Jiaquan   +2 more
openaire   +3 more sources

CONVEXITY OF REACHABLE SETS OF QUASILINEAR SYSTEMS

open access: yesUral Mathematical Journal, 2023
This paper investigates convexity of reachable sets for quasilinear systems under integral quadratic constraints. Drawing inspiration from B.T. Polyak's work on small Hilbert ball image under nonlinear mappings, the study extends the analysis to ...
Ivan Osipov
doaj   +1 more source

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