Results 321 to 330 of about 17,909,648 (352)

SUCCESSIVE ITERATIONS FOR UNIQUE POSITIVE SOLUTION OF A NONLINEAR FRACTIONAL Q-INTEGRAL BOUNDARY VALUE PROBLEM

The Journal of Applied Analysis and Computation, 2019
In this paper, under certain nonlinear growth conditions, we investigate the existence and successive iterations for the unique positive solution of a nonlinear fractional q-integral boundary problem by employing hybrid monotone method, which is a novel ...
Guotao Wang, Zhanbing Bai, Lihong Zhang
semanticscholar   +1 more source

ON POSITIVE SOLUTIONS OF ELLIPTIC EQUATIONS

Mathematics of the USSR-Sbornik, 1971
In this paper the authors study weak solutions of elliptic equations of the form in a bounded domain . It is assumed known about these solutions either that they are positive, or that estimates in certain norms hold for their negative parts. It is assumed moreover that an estimate on the -norm of the solution holds on some subdomain .
Pletneva, T. G., Eidel'man, S. D., Kondrat'ev, V. A.   +2 more
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The positiveness and the uniqueness of a solution

Economics Letters, 1985
Abstract This paper presents a sufficient condition which assures the positiveness and uniqueness of a solution for various economic equations and inequality systems.
Takao Fujimoto, Carmen Herrero
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POSITIVE SOLUTIONS OF NONLINEAR ELLIPTIC SYSTEMS

Mathematical Models and Methods in Applied Sciences, 1993
In this paper we prove the existence of nonnegative and non-trivial solutions of problems of the form [Formula: see text] Our main result improves many previous results of other authors and it may be applied to study the three standard situations: competition, prey-predator and cooperative models.
Cañada, A., Gámez, J. L.
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Regularity and positivity of the solution

2017
In this section we show a regularity result1 that allows us to say that a nonnegative solution to (2.1.1) is bounded.
Serena Dipierro, María Medina, Enrico Valdinoci   +2 more
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Positive solutions for the Neumann p-Laplacian

Monatshefte für Mathematik, 2017
Let \(\Omega\subset {\mathbb R}^N\) be a bounded domain with smooth boundary. This paper is devoted to the refined qualitative analysis of positive solutions of the quasilinear elliptic problem \[ -\Delta_pu+\lambda u^{p-1}=f(x,u)\quad\text{in}\Omega, \] subject to the Neumann boundary condition \(\frac{\partial u}{\partial n}=0\) on \(\partial\Omega\).
Averna, Diego, Papageorgiou, Nikolaos S., Tornatore, Elisabetta   +2 more
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Bifurcation of Positive Solutions for a Nonlocal Problem

Mediterranean Journal of Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Weibing, Tang, Wei
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Multiplicity of Positive Solutions for Kirchhoff Systems

Bulletin of the Malaysian Mathematical Sciences Society, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Accelerated dynamical approaches for finding the unique positive solution of KS-tensor equations

Numer. Algorithms, 2021
Xuezhong Wang, Changxin Mo, Maolin Che, Yimin Wei   +3 more
semanticscholar   +1 more source

Multiple solutions of positively homogeneous equations

Nonlinear Analysis: Theory, Methods & Applications, 2002
The authors study the existence and multiplicity of periodic solutions to the following system \[ u''- Au + \mu u^+ - \nu u^- = v + h(t), \] where \(h\) is a continuous and \(T\)-periodic function, \(v\in \mathbb{R}^N\), and \(A\) is a symmetric matrix. The main results are the following: (1) Under some reasonable assumptions, this system has at least \
FONDA, ALESSANDRO, TORRES P.
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