Uniqueness of asymptotic solutions for linear systems of ODEs with isolated singularities of general type

Key Points

• The central aim is to establish sufficient conditions for the existence and uniqueness of solutions for a subset of linear ODEs.
• Reviewed a wide class of ordinary differential equations (ODEs)
• Analyzed asymptotic behavior of solutions
• Considered isolated singularities of coefficients
• Defined conditions for existence and uniqueness of fundamental solutions
• Identified sufficient conditions that ensure a unique set of solutions
• Demonstrated that singularities can be of general, not just pole type
• Concluded that specified asymptotic behavior is achievable within wide sectors