Positivity of green’s matrix of nonlocal boundary value problems

نتاج البحث: نشر في مجلةمقالةمراجعة النظراء

ملخص

We propose an approach for studying positivity of Green’s operators of a nonlocal boundary value problem for the system of n linear functional differential equations with the boundary conditions nixi − Σnj=1 mijxj = βi, i = 1,...,n, where ni and mij are linear bounded “local” and “nonlocal” functionals, respectively, from the space of absolutely continuous functions. For instance, (Formula presented.) can be considered. It is demonstrated that the positivity of Green’s operator of nonlocal problem follows from the positivity of Green’s operator for auxiliary “local” problem which consists of a “close” equation and the local conditions nixi = αi, i = 1,...,n.

اللغة الأصليةالإنجليزيّة
الصفحات (من إلى)621-638
عدد الصفحات18
دوريةMathematica Bohemica
مستوى الصوت139
رقم الإصدار4
حالة النشرنُشِر - 2014

All Science Journal Classification (ASJC) codes

  • !!General Mathematics

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