On Solutions of a Higher Order Nonhomogeneous Ordinary Differential Equation

HIGHER-ORDER LINEAR ORDINARY DIFFERENTIAL EQUATIONS II: Nonhomogeneous Equations

Because the presentation of this material in class will differ from that in the book, I felt that notes that closely follow the class presentation might be appreciated.

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.  

HIGHER-ORDER LINEAR ORDINARY DIFFERENTIAL EQUATIONS IV: Variable Coefficient Nonhomogeneous Case

On the Number of Zeros of Bounded Nonoscillatory Solutions to Higher-order Nonlinear Ordinary Differential Equations

Existence of weak solutions for a boundary value problem of a second order ordinary differential equation

where the functions f , g : [0, 1]× R→ R and h : [0, 1]× R→ R\{0} satisfy some special assumptions that will be given in detail in Section 3. Boundary value problems arise in a variety of applied mathematics and physics areas (refer to [1, 2] etc.). Some boundary value problems of ordinary equations may be turned into (1.1)-(1.2). For example, in the design of bridge, denote u(t) by the displac...