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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

Multiple solutions of positively homogeneous equations [PDF]

open access: possibleNonlinear Analysis: Theory, Methods & Applications, 2002
where h :R → RN is a continuous and T -periodic function, v is a vector to be 5xed, ; are real numbers and A is a symmetric N × N matrix. Given u∈RN ; we write u= u+ − u−; where u+ denotes the vector whose components are the positive parts of those of u; and similarly for u−: This kind of systems appear, e.g.
FONDA, ALESSANDRO, TORRES P.
openaire   +2 more sources

Positive solution for a quasilinear elliptic equation involving critical or supercritical exponent

, 2016
This paper concerns the quasilinear elliptic equation −Δu+u−Δ(u2)u=up−2u+μuq−2uinRN, where N ≥ 3, 2 0 sufficiently small, existence of a positive solution will be proved via variational methods together with truncation technique and L∞-estimate. The main
Haidong Liu
semanticscholar   +1 more source

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.
María Medina   +2 more
openaire   +2 more sources

Uniqueness of large positive solutions

Zeitschrift für angewandte Mathematik und Physik, 2017
We establish the uniqueness of the positive solution of the singular problem (1.1) through some standard comparison techniques involving the maximum principle. Our proofs do not invoke to the blow-up rates of the solutions, as in most of the specialized literature. We give two different types of results according to the geometrical properties of
Julián López-Gómez, Luis Maire
openaire   +2 more sources

Accelerated dynamical approaches for finding the unique positive solution of KS-tensor equations

Numer. Algorithms, 2021
Xuezhong Wang   +3 more
semanticscholar   +1 more source

On positive solutions of a semilinear equation

Journal of Mathematical Sciences, 1996
A semilinear elliptic equation is considered in a domain with smooth boundary. The authors prove the existence and uniqueness of positive solutions of different types, singular at an inner point, subject to the Dirichlet boundary conditions. Bibliography: 13 titles.
V. A. Nikishkin, V. A. Kondratiev
openaire   +2 more sources

Eigenvalue conditions and positive solutions

Journal of Difference Equations and Applications, 2000
We are concerned with proving the existence of positive solutions of general two point boundary value problems for the nonlinear equation . Here the independent variable t is in a “measure chain”. We will use fixed point theorems for operators on a Banach space.
Lynn Erbe, Allan Peterson
openaire   +2 more sources

A Survey of Train Positioning Solutions

IEEE Sensors Journal, 2017
Positioning accurately and safely a train is nowadays a great challenge. That includes currently available railway sensors and new candidate sensors for data fusion. Global Navigation Satellite System and Inertial Measurement Unit sensors arise as prominent technologies to incorporate in railways.
Jon Otegui   +3 more
openaire   +2 more sources

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 .
T G Pletneva   +2 more
openaire   +2 more sources

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