کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6422506 1632020 2014 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Transformation techniques and fixed point theories to establish the positive solutions of second order impulsive differential equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Transformation techniques and fixed point theories to establish the positive solutions of second order impulsive differential equations
چکیده انگلیسی


- We use a new method to deal with impulse term of second impulsive differential equations.
- The dependence of positive solution xλ(t) on the parameter λ is also studied.
- We extend and improve some known results of non-impulsive equations and are compared with some recent results.

Using a new method for dealing with the impulse term of second impulsive differential equations, we are concerned with determining values of λ, for which there exist positive solutions of the following boundary value problems in the form of {λx″(t)+f(t,x(t))=0,t∈J,t≠tk,x(tk+)−x(tk)=ckx(tk),k=1,2,…,n,ax(0)−bx′(0)=ax(1)−bx′(1)=∫01h(s)x(t)dt, where λ>0 is a positive parameter, {ck} is a real sequence with ck>−1,k=1,2,…,n. The dependence of positive solution xλ(t) on the parameter λ is also studied, i.e.,  limλ→+∞‖xλ‖=+∞orlimλ→+∞‖xλ‖=0. The proof of our main result is based upon transformation techniques and fixed point theories. This is probably the first time the existence of positive solutions of second order impulsive differential equations has been studied by applying this technique.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 271, 1 December 2014, Pages 117-129
نویسندگان
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