On the solvability of a boundary value problem for $p$-Laplacian differential equations

On the solvability of a boundary value problem for $p$-Laplacian differential equations

Using barrier strip conditions, we study the existence of $C^2[0,1]$-solutions of the boundary value problem $(\phi_p(x^{\prime}))^{\prime}=f(t,x,x^{\prime}),$ $x(0)=A,\ x^{\prime}(1)=B,$ where $\phi_p(s)=s|s|^{p-2},\ p>2$. The question of the existence of positive monotone solutions is also af...

Full description

Bibliographic Details
Main Authors: Petio Kelevedjiev, Silvestar Bojerikov
Format: Article
Language:English
Published: University of Szeged 2017-01-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
boundary value problem
second order differential equation
$p$-laplacian
existence
sign conditions
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5305

Internet

http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5305

Similar Items