supported by the National Natural Science Foundation of China(No.12071491)。
In this paper,we consider the one dimensional third order p-Laplacian equation(Фp(u″))′+h(t)f(t,u(t))=0 with integral boundary conditions u(0)-αu′(0)=∫_(0)^(1) g1(s)u(s)ds,u(1)+βu′(1)=∫_(0)^(1)g2(s)u(s)ds,u″...
Supported by Science Research Foundation of Guangxi Education Board under grant YB2014117
The objective of this paper is to study the oscillatory and asymptotic properties of the general mixed type third order neutral difference equation of the form △(aαn△2(xn+ bnxn-τ1+ cnxn+τ2)) + qnx^a n+1...
In this paper. 'resonance' of the turning point problem of third order differential equation is defined . Using the theory of invariant manifolds we find that resonance occurs when two manifolds