PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
2012 | 104 | 1 | 43-70
Tytuł artykułu

Eventually positive solutions for nonlinear impulsive differential equations with delays

Treść / Zawartość
Warianty tytułu
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.
Słowa kluczowe
Rocznik
Tom
104
Numer
1
Strony
43-70
Opis fizyczny
Daty
wydano
2012
Twórcy
  • Department of Mathematics, Tsing Hua University, Hsinchu, Taiwan 30043
  • Department of Mathematics, Tsing Hua University, Hsinchu, Taiwan 30043
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-ap104-1-4
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.