Chapter 3: Strong Limit-Point/Limit-Circle Properties

The following sections are included:

• Introduction

• The Strong Limit-Point Property

• Some Lemmas

• Strong Nonlinear Limit-Point Results for Emden–Fowler Equations

• Sub-Half-Linear and Super-Half-Linear Equations

• Preliminary Lemmas

• Strong Nonlinear Limit-Point/Limit-Circle Results for Sub-Half-Linear Equations

• Strong Nonlinear Limit-Point/Limit-Circle Results for Super-Half-Linear Equations

• The Forced Equation

• Further Results for the Unforced Equation

• Equations with ${\displaystyle {\int }_0^{\infty }\left(a^{-\frac{1}{p}}\left(t\right)+r\left(t\right)\right)}dt<\infty$

• Thomas–Fermi Equations

• Classification of Solutions

• Limit-Point/Limit-Circle Solutions of Thomas–Fermi Type Equations

• Examples and Further Discussion