Differences of Decreasing Slowly Varying Functions
Slobodanka Janković, Tatjana Ostrogorski (2000)
Matematički Vesnik
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Differences of Decreasing Slowly Varying Functions
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This paper is concerned with asymptotic analysis of strongly decaying solutions of the third-order singular differential equation , by means of regularly varying functions, where is a positive constant and is a positive continuous function on . It is shown that if is a regularly varying function, then it is possible to establish necessary and sufficient conditions for the existence of slowly varying solutions and regularly varying solutions of (A) which decrease to as and...