Positive solutions of nonlinear singular third-order two-point boundary value problem

S Li - Journal of Mathematical Analysis and Applications, 2006‏ - Elsevier
In this paper, we are concerned with the existence of single and multiple positive solutions to
the nonlinear singular third-order two-point boundary value problem where λ is a positive …

[HTML][HTML] Positive solutions for third-order three-point nonhomogeneous boundary value problems

Y Sun - Applied Mathematics Letters, 2009‏ - Elsevier
In this work, by employing the Guo–Krasnosel'skii fixed point theorem and Schauder's fixed
point theorem, we study the existence and nonexistence of positive solutions to the third …

Existence of solutions for a class of third-order nonlinear boundary value problems

Z Du, W Ge, X Lin - Journal of Mathematical Analysis and Applications, 2004‏ - Elsevier
In this paper, we are concerned with the following third-order ordinary differential
equation:[Formula: see text] with the nonlinear boundary conditions [Formula: see text] …

A novel fixed point iteration method for the solution of third order boundary value problems

M Abushammala, SA Khuri, A Sayfy - Applied Mathematics and …, 2015‏ - Elsevier
In this work, a new alternative uniformly convergent iterative scheme is presented and
applied for the solution of an extended class of linear and nonlinear third order boundary …

On a third-order multi-point boundary value problem at resonance

Z Du, X Lin, W Ge - Journal of Mathematical Analysis and Applications, 2005‏ - Elsevier
On a third-order multi-point boundary value problem at resonance Page 1 J. Math. Anal. Appl.
302 (2005) 217–229 www.elsevier.com/locate/jmaa On a third-order multi-point boundary …

On the solvability of some discontinuous third order nonlinear differential equations with two point boundary conditions

A Cabada, M do Rosário Grossinho… - Journal of Mathematical …, 2003‏ - Elsevier
We prove the existence of extremal solutions for the third order discontinuous functional
nonlinear problem [Formula: see text][Formula: see text][Formula: see text] by using a fixed …

Simple numerical methods of second-and third-order convergence for solving a fully third-order nonlinear boundary value problem

QA Dang, QL Dang - Numerical Algorithms, 2021‏ - Springer
In this paper, we consider a fully third-order nonlinear boundary value problem that is of
great interest of many researchers. First, we establish the existence and uniqueness of …

A note on a class of problems for a higher-order fully nonlinear equation under one-sided Nagumo-type condition

MR Grossinho, F Minhós, AI Santos - Nonlinear Analysis: Theory, Methods …, 2009‏ - Elsevier
The purpose of this work is to establish existence and location results for the higher-order
fully nonlinear differential equation with the boundary conditions or with Ai, B, C∈ R, for i …

Finding approximate solutions for a class of third-order non-linear boundary value problems via the decomposition method of Adomian

M Dehghan, M Tatari - International Journal of Computer …, 2010‏ - Taylor & Francis
Third-order boundary value problems (BVPs) were discussed in many papers in recent
years. The existence of solutions to these problems is shown under certain conditions …

On some third order nonlinear boundary value problems: existence, location and multiplicity results

FM Minhós - Journal of Mathematical Analysis and Applications, 2008‏ - Elsevier
We prove an Ambrosetti–Prodi type result for the third order fully nonlinear equation with f:[0,
1]× R3→ R and p:[0, 1]→ R+ continuous functions, s∈ R, under several two-point separated …