Nonlinear sum operator equations and applications to elastic beam equation and fractional differential equation
type: Item
instance of: scholarly article
title: Nonlinear sum operator equations and applications to elastic beam equation and fractional differential equation
author: Yanbin Sang
author: Yan Ren
published in: Boundary Value Problems
publication date: 2022-12-19T00:00:00Z
Mathematics Subject Classification ID: 34Bxx
Mathematics Subject Classification ID: 34Axx
Mathematics Subject Classification ID: 47Hxx
zbMATH DE Number: 7634193
zbMATH Keywords: mixed monotone operator
zbMATH Keywords: beam equation
zbMATH Keywords: existence and uniqueness
zbMATH Keywords: fractional differential equation
zbMATH Keywords: cone
MaRDI profile type: Publication
Wikidata QID: Q115241498
full work available at URL: s13661-019-1160-x
OpenAlex ID: W2940459924
cites work: Existence of positive solutions for the nonlinear elastic beam equation via a mixed monotone operator
cites work: Non-trivial solutions for nonlinear fourth-order elastic beam equations
cites work: Positive solutions of fourth order problems with clamped beam boundary conditions
cites work: Existence of positive solutions for the cantilever beam equations with fully nonlinear terms
cites work: Positive solutions for elastic beam equations with nonlinear boundary conditions and a parameter
cites work: Solutions of perturbed Hammerstein integral equations with applications
cites work: Nontrivial solutions of fourth-order singular boundary value problems with sign-changing nonlinear terms
cites work: Existence and uniqueness of positive solutions for fourth-order \(m\)-point boundary value problems with two parameters
cites work: Monotone positive solutions for a fourth order equation with nonlinear boundary conditions
cites work: Existence and uniqueness of monotone positive solutions for an elastic beam equation with nonlinear boundary conditions
cites work: Existence and iteration of monotone positive solutions for an elastic beam equation with a corner
cites work: Existence results and iterative method for solving the cantilever beam equation with fully nonlinear term
cites work: Existence and uniqueness of symmetric positive solutions of \(2n\)-order nonlinear singular boundary value problems
cites work: A sum operator equation and applications to nonlinear elastic beam equations and Lane-Emden-Fowler equations
cites work: Approximating monotone positive solutions of a nonlinear fourth-order boundary value problem via sum operator method
cites work: Multiplicity of solutions of a two point boundary value problem for a fourth-order equation
cites work: A nonlinear boundary value problem for fourth-order elastic beam equations
cites work: Positive solutions of semi-positone Hammerstein integral equations and applications
cites work: Coupled fixed points of nonlinear operators with applications
cites work: Fixed point theorems in partially ordered metric spaces and applications
cites work: Fixed point theorems for mixed monotone operators and applications to integral equations
cites work: On a fixed point theorem of mixed monotone operators and applications
cites work: The unique solution of a class of sum mixed monotone operator equations and its application to fractional boundary value problems
cites work: Mixed monotone operators and their application to integral equations
cites work: \(\varphi\)-\((h,e)\)-concave operators and applications
cites work: Q3994493
cites work: Q3141895
cites work: Q5699297
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Existence and uniqueness of positive solutions for boundary value problems of fractional differential equations
cites work: Existence and uniqueness of positive solution to singular fractional differential equations
cites work: Existence of positive solutions to an arbitrary order fractional differential equation via a mixed monotone operator method
cites work: Existence and uniqueness of positive solutions for a class of nonlinear fractional differential equations
cites work: Multiple positive solutions for nonlinear boundary value problem of fractional order differential equation with the Riemann-Liouville derivative
cites work: Positive solutions to advanced fractional differential equations with nonlocal boundary conditions
cites work: Existence and nonexistence of positive solutions for the fractional coupled system involving generalized \(p\)-Laplacian
cites work: Positive solutions for a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters
cites work: Uniqueness of positive solutions for a class of fractional boundary value problems
cites work: Positive solutions for a nonlocal fractional differential equation
cites work: On a sign-changing solution for some fractional differential equations
cites work: Necessary and sufficient condition for the existence of positive solution to singular fractional differential equations
cites work: Existence and multiplicity of nontrivial solutions for a class of semilinear fractional Schrödinger equations
cites work: Nontrivial solutions for a fractional advection dispersion equation in anomalous diffusion
cites work: Positive solutions for a fractional boundary value problem
cites work: Q5435258
cites work: Existence of a positive solution to a class of fractional differential equations
DOI: 10.1186/S13661-019-1160-X
description: scientific article; zbMATH DE number 7634193