Infinite growth of solutions of second order complex differential equation

Growth of Solutions to Second-order Complex Differential Equations

In this article, we study the existence of non-trivial subnormal solutions for second-order linear differential equations. We show that under certain conditions some differential equations do not have subnormal solutions, also that the hyper-order of every solution equals one.

On the growth of solutions of second order complex differential equation with meromorphic coefficients

* Correspondence: [email protected] LMAM and School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China Full list of author information is available at the end of the article Abstract We consider the differential equation f’’ + Af’ + Bf = 0 where A(z) and B(z) ≢ 0 are mero-morphic functions. Assume that A(z) belongs to the Edrei-Fuchs class and B(z) has a deficient valu...

Periodic solutions of fourth-order delay differential equation

In this paper the periodic solutions of fourth order delay differential equation of the form $ddddot{x}(t)+adddot{x}(t)+f(ddot{x}(t-tau(t)))+g(dot{x}(t-tau(t)))+h({x}(t-tau(t)))=p(t)$  is investigated. Some new positive periodic criteria are given.  

Analytic Solutions of a Second-Order Functional Differential Equation

On Singular Solutions of a Second Order Differential Equation

In the paper, sufficient conditions are given under which all nontrivial solutions of (g(a(t)y))+r(t)f(y) = 0 are proper where a > 0, r > 0, f(x)x > 0, g(x)x > 0 for x 6= 0 and g is increasing on R. A sufficient condition for the existence of a singular solution of the second kind is given.