On Self-Adjoint Differential Equations of Second Order

On Self-Adjoint Differential Equations of Second Order.

Behavior of Solutions of Second Order Self- Adjoint Differential Equations

Principal Quadratic Functionals and Self-Adjoint Second-Order Differential Equations.

On the stability of linear differential equations of second order

The aim of this paper is to investigate the Hyers-Ulam stability of the  linear differential equation$$y''(x)+alpha y'(x)+beta y(x)=f(x)$$in general case, where $yin C^2[a,b],$  $fin C[a,b]$ and $-infty

CRITICALITY OF ONE TERM 2n-ORDER SELF-ADJOINT DIFFERENTIAL EQUATIONS

where r(x) > 0, x ∈ R, and r ∈ Lloc(R). Eq. (1.1) appears as a base for perturbations in the oscillation theory, i.e., the studied equations are regarded as perturbations of Eq. (1.1). It is shown that certain properties of Eq. (1.1) are preserved or lost by perturbations. Therefore, it is useful to know as much as possible about Eq. (1.1) (to analyse its properties), see, e.g., [1, 3, 4, 5, 6,...