Lower and upper solutions for a fully nonlinear beam equation

F Minhós, T Gyulov, AI Santos - Nonlinear Analysis: Theory, Methods & …, 2009‏ - Elsevier
In this paper the two point fourth order boundary value problem is considered where f:[0, 1]×
R4→ R is a continuous function satisfying a Nagumo-type condition. We prove the existence …

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 …

[PDF][PDF] Unbounded upper and lower solution method for third-order boundary-value problems on the half-line.

C Bai, C Li - Electronic Journal of Differential Equations (EJDE) …, 2009‏ - eudml.org
\noindent Electronic Journal of Differential Equations , Vol . 2009 ( 2009 ) , No . 1 1 9 , pp . 1
−− 1 ISSN : 1 72 − 6691 Page 1 \noindent Electronic Journal of Differential Equations , Vol …

Existence and uniqueness of solutions for third-order nonlinear boundary value problems

M Pei, SK Chang - Journal of Mathematical Analysis and Applications, 2007‏ - Elsevier
In this paper, we present some general results of existence and uniqueness of solutions of
nonlinear two-point boundary value problems for third-order nonlinear differential equations …

Solvability for a third order discontinuous fully equation with nonlinear functional boundary conditions

A Cabada, F Minhós, AI Santos - Journal of mathematical analysis and …, 2006‏ - Elsevier
We prove an existence and location result for the third order functional nonlinear boundary
value problem with t0∈[a, b] given, f: I× C (I)× R2→ R is a L1-Carathéodory function and L0 …

[PDF][PDF] Existence of solutions of nonlinear third-order two-point boundary value problems

P Kelevedjiev, T Todorov - Electronic Journal of Qualitative Theory of …, 2019‏ - core.ac.uk
Existence of solutions of nonlinear third-order two-point boundary value problems Page 1
Electronic Journal of Qualitative Theory of Differential Equations 2019, No. 23, 1–15; https://doi.org/10.14232/ejqtde.2019.1.23 …

Twin monotone positive solutions to a singular nonlinear third-order differential equation

Z Liu, JS Ume, DR Anderson, SM Kang - Journal of mathematical analysis …, 2007‏ - Elsevier
This paper discusses the existence of at least one or two nondecreasing positive solutions
for the following singular nonlinear third-order differential equation where λ> 0 is a …

[HTML][HTML] Multiple positive solutions of nonlinear third-order BVP for a class of p-Laplacian dynamic equations on time scales

W Han, S Kang - Mathematical and Computer Modelling, 2009‏ - Elsevier
In this paper, by using fixed-point theorems in cones, the existence of multiple positive
solutions is considered for singular nonlinear boundary value problem for the following third …

[HTML][HTML] Solvability of a nonlinear third-order periodic boundary value problem

H Yu, M Pei - Applied Mathematics Letters, 2010‏ - Elsevier
In this paper, we study the existence of solutions for a third-order periodic boundary value
problem By using the Leray–Schauder continuation theorem, we obtain the existence result …