The Strong Nonlinear Limit-Point/Limit-Circle Problem

The following sections are included:

• Dedication
• Preface
• Contents

The following sections are included:

• Introduction
• The Weyl Alternative

The following sections are included:

• Introduction
• Second-Order Unforced Equations
• Preliminary Lemmas
• Nonlinear Limit-Point/Limit-Circle Results
• The Forced Equation
• Asymptotic Properties of Solutions of the Forced Equation
• Examples and Discussion

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

The following sections are included:

• Introduction
• Notation
• The Sub-Half-Linear Case: Preliminary Lemmas
• The Sub-Half-Linear Case: Main Results
• The Super-Half-Linear Case: Preliminary Lemmas
• The Super-Half-Linear Case: Main Results
• The Case p = q
• Examples and Discussion

The following sections are included:

• Introduction
• Equations of Order 2n
• Limit-Point/Limit-Circle Solutions of Even-Order Equations
• Fourth-Order Equations
• Limit-Point/Limit-Circle and Related Properties of Solutions of Fourth-Order Equations

The following sections are included:

• Introduction
• Limit-Point/Limit-Circle and Other Properties of Solutions
• Preliminary Lemmas
• Nonoscillatory Solutions
• Oscillatory Solutions
• Examples

The following sections are included:

• Introduction
• Preliminaries
• Behavior of Nonoscillatory Solutions
• Behavior of Oscillatory Solutions
• Limit-Point/Limit-Circle Properties of Solutions
• Examples

The following sections are included:

• Introduction
• Preliminaries
• Limit-Point and Limit-Circle Results
• Examples and Discussion

The following sections are included:

• Introduction
• Notes and Open Problems
• Directions for Future Research

The following sections are included:

• Bibliography
• Index