Eventually positive solutions for nonlinear impulsive differential equations with delays

• Autorzy: Shao Yuan Huang , Sui Sun Cheng
• Języki publikacji: EN

Abstrakty

EN

Several recent oscillation criteria are obtained for nonlinear delay impulsive differential equations by relating them to linear delay impulsive differential equations or inequalities, and then comparison and oscillation criteria for the latter are applied. However, not all nonlinear delay impulsive differential equations can be directly related to linear delay impulsive differential equations or inequalities. Moreover, standard oscillation criteria for linear equations cannot be applied directly since continuous coefficient functions and initial functions are required. Therefore we establish oscillation criteria for linear or nonlinear impulsive equations with piecewise continuous coefficients and initial functions. Our technique is based on transforming our problem into a fixed point problem in Banach spaces, and then establishing comparison theorems. Our results extend, improve and correct some well known results in the literature.

Kategorie tematyczne

• 34K11: Oscillation theory
• 34K45: Equations with impulses

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2012
• Tom: 104
• Numer: 1
• Strony: 43-70

Daty

wydano

2012

Twórcy

autor

Shao Yuan Huang

• Department of Mathematics, Tsing Hua University, Hsinchu, Taiwan 30043

autor

Sui Sun Cheng

• Department of Mathematics, Tsing Hua University, Hsinchu, Taiwan 30043

Identyfikatory

DOI

10.4064/ap104-1-4