Results 121 to 130 of about 8,417 (227)

Superlinear Amplitude Amplification

open access: yes, 2008
Quantum search/amplitude amplification algorithms are designed to be able to amplify the amplitude in the target state linearly with the number of operations. Since the probability is the square of the amplitude, this results in the success probability rising quadratically with the number of operations.
openaire   +2 more sources

Radially Symmetric Solutions to a Superlinear Dirichlet Problem in a Ball [PDF]

open access: yes, 1987
In this paper we consider a radially symmetric nonlinear Dirichlet problem in a ball, where the nonlinearity is "superlinear" and "superlinear with jumping.
Kurepa, Alexandra
core  

Existence and multiplicity of positive solutions to systems of nonlinear Hammerstein integral equations

open access: yesElectronic Journal of Differential Equations, 2019
This article studies the existence and multiplicity of component-wise positive solutions for systems of nonlinear Hammerstein integral equations. In this system one nonlinear term is uniformly superlinear or uniformly sublinear, and the other is ...
Xiyou Cheng, Zhaosheng Feng
doaj  

Existence of positive solutions for systems of nonlinear Sturm-Liouville differential equations with weight functions

open access: yesElectronic Journal of Differential Equations, 2019
This article concerns the existence of component-wise positive solutions for systems of nonlinear Sturm-Liouville differential equations with weight functions, in which one nonlinear term is uniformly superlinear or uniformly sublinear, and the other ...
Jinfang He, Lu Yang
doaj  

Superlinear Convergence Of An Interior-Point Method Despite Dependent Constraints

open access: yes, 1997
We show that an interior-point method for monotone variational inequalities exhibits superlinear convergence provided that all the standard assumptions hold except for the well-known assumption that the Jacobian of the active constraints has full rank at
Stephen J. Wright, Daniel Ralph
core  

Note on a non-oscillation theorem of Atkinson

open access: yesElectronic Journal of Differential Equations, 2004
We present a general non-oscillation criterion for a second order two-term scalar nonlinear differential equation in the spirit of a classic result by Atkinson [1]. The presentation is simpler than most and can serve to unify many such criteria under one
Samuel G. Dube, Angelo B. Mingarelli
doaj  

Nontrivial solutions for Kirchhoff equations with periodic potentials

open access: yesElectronic Journal of Differential Equations, 2016
In this article we consider the Kirchhoff equations $$ -\Big(a+b\int_{\mathbb{R}^3}|\nabla u|^2\Big)\Delta u+V(x)u=f(x,u),\quad x\in\mathbb{R}^3, $$ where $a,b>0$ are constants, the nonlinearity f is superlinear at infinity with subcritical or ...
Xiaoyan Ma, Xiaoming He
doaj  

Superlinear Optimization Algorithms

open access: yes
This paper proposes several novel optimization algorithms for minimizing a nonlinear objective function. The algorithms are enlightened by the optimal state trajectory of an optimal control problem closely related to the minimized objective function. They are superlinear convergent when appropriate parameters are selected as required.
Wang, Hongxia   +3 more
openaire   +2 more sources

Existence and multiplicity of solutions to a p-Laplacian equation with nonlinear boundary condition

open access: yesElectronic Journal of Differential Equations, 1998
We study the nonlinear elliptic boundary value problem $$ A u = f(x,u) quad { m in }Omega,,$$ $$ Bu = g(x,u) quad { m on }partial Omega,,$$ where $A$ is an operator of p-Laplacian type, $Omega$ is an unbounded domain in ${Bbb R}^N$ with non-compact ...
Klaus Pflueger
doaj  

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