Results 11 to 20 of about 2,303 (168)
New Inner Product Quasilinear Spaces on Interval Numbers
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
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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
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Quasilinear Inner Product Spaces and Hilbert Quasilinear Spaces [PDF]
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
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Soft Quasilinear Spaces and Soft Normed Quasilinear Spaces
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.
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Quasilinearization method and WKB [PDF]
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.
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Notes on the Solutions of the First Order Quasilinear Differential Equations
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
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Expanding-box Quasilinear Model of the Solar Wind
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
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Ground state solutions for a quasilinear Kirchhoff type equation
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
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Multiple Sign-Changing Solutions for Quasilinear Equations of Bounded Quasilinearity
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
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CONVEXITY OF REACHABLE SETS OF QUASILINEAR SYSTEMS
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
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