In this paper,we investigate the properties of the growth of solutions of higher order differential equations f(k)+h1ePf′+h2eQf=0,where P,Q are polynomial of degree n and h1,h2 are entire functions or meronorphic functions.

This paper studies a class of high order differential equation as follows ax(2n)(t)+cx (t)+bx(t)+g(x(t-τ(t)))=p(t).

A class of high order differential equation is considered as follows ax2n(t)+cx\'(t)+h(x\'(t))x(t)+g[x(t-τ(t))]=p(t)By using the theory of coincidence degree,a sufficient condition of existence of at least one T-periodic solution is obtained.

A class of high order differential equation is considered as follows ax(2n)(t)+cx′(t)+h(x′(t))x(t)+g(x(t-τ))=p(t).

There are a lot of ways to find the solution of the high-order differential equation.

By means of better prior estimate and the coincidence degree theory,we study the existence of periodic solutions for a kind of high-order differential equation with delay shch as (x(t)-cx(t-σ))(n)+∑n-1i=2aix(i)(t-δi)+g(t,x(t-r(t))=f(t,x(t-τ(t)),x′(t-δ(t)))+p(t) Some new sufficient condition of periodic solutions is obtained on the even more conditions.

This paper obtains a new oscillation theorem of high-order differential equation with damping.

This paper studies oscillation for the solutions of neutral higher order partial differential equation with continuous distributed deviating arguments.

With the method of compression and expansion of a cone, the existence of multiple positive solutions for higher order boundary value systems with a p-Laplacian operator was investigated.