Existence criteria for positive solutions of a nonlinear difference inequality

• Autorzy: Sui Sun Cheng , Guang Zhang
• Języki publikacji: EN

Abstrakty

EN

This paper is concerned with a class of nonlinear difference inequalities which include many different classes of difference inequalities and equations as special cases. By means of a Riccati type transformation, necessary and sufficient conditions for the existence of eventually positive solutions and positive nonincreasing solutions are obtained. Various type of comparison theorems are also derived as applications, which extends many theorems in the literature.

Słowa kluczowe

EN

Sturm type comparison theorem; limit comparison theorem; nth order linear difference equation; eventually positive solution; eventually positive nonincreasing solution; neutral difference equation; nonlinear delay difference inequality

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2000
• Tom: 73
• Numer: 3
• Strony: 197-220

Daty

wydano

2000

otrzymano

1998-07-08

poprawiono

1998-12-15

poprawiono

2000-03-20

Twórcy

autor

Sui Sun Cheng

• Department of Mathematics, Tsing Hua University, Hsinchu, Taiwan 30043, R.O.C.

autor

Guang Zhang

• Department of Mathematics, Datong Advanced College, Datong, Shanxi 037008, P.R. China

Bibliografia

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