Results 11 to 20 of about 1,351 (138)

Quasilinearization method and WKB [PDF]

Computer 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 ...
Rajmund Krivec, V. B. Mandelzweig
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The quasilinear isomorphism challenge [PDF]

ACM SIGACT News, 1994
We show that all the basic facts about the Berman-Hartmanis Isomorphism Conjecture carry over from polynomial to quasilinear time bounds. However, we show that the connection between unique-accepting NTMs and one-way functions, which underlies much subsequent work on the B-H conjecture, breaks down for quasilinear time under relativizations.
Kenneth W. Regan, Jie Wang 0002
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Multiple Sign-Changing Solutions for Quasilinear Equations of Bounded Quasilinearity

Analysis 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, Liu, Xiangqing, Wang, Zhiqiang   +2 more
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The quasilinear Schrödinger–Poisson system

Journal of Mathematical Physics, 2023
This paper deals with the (p, q)-Schrödinger–Poisson system, which is new and has never been considered in the literature. The uniqueness of solutions of the quasilinear Poisson equation is obtained via the Minty–Browder theorem. The variational framework of the quasilinear system is built, and nontrivial solutions of the system are obtained via the ...
Yao Du, Jiabao Su, Cong Wang
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New Inner Product Quasilinear Spaces on Interval Numbers

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

Boundary 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
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Quasilinear Inner Product Spaces and Hilbert Quasilinear Spaces [PDF]

International 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, Sümeyye Çakan, Yılmaz Yılmaz   +2 more
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Notes on the Solutions of the First Order Quasilinear Differential Equations

Ratio 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
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Soft Quasilinear Spaces and Soft Normed Quasilinear Spaces

Adıyaman 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.
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Resonant Problems by Quasilinearization [PDF]

International Journal of Differential Equations, 2014
The Dirichlet resonant boundary value problems are considered. If the respective nonlinear equation can be reduced to a quasilinear one with a nonresonant linear part and both equations are equivalent in some domainΩand if solutions of the quasilinear problem are inΩ, then the original problem has a solution.
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