Zeros of solutions of functional equations in the space of discontinuous functions of two variables

نتاج البحث: نشر في مجلةمقالةمراجعة النظراء

ملخص

In this paper distribution of zeros of solutions of functional equations in the space of functions of two variables is studied. A zero of a solution in the space of noncontinuous functions is defined. It is demonstrated that oscillatory properties of functional equations are determined by the spectral radius of a corresponding operator acting in the space of essentially bounded functions. Zones of solution positivity are estimated. Various exact oscillation and non-oscillation tests are proposed. A necessary and sufficient condition of oscillation is obtained.

اللغة الأصليةالإنجليزيّة
الصفحات (من إلى)656-668
عدد الصفحات13
دوريةJournal of Mathematical Analysis and Applications
مستوى الصوت308
رقم الإصدار2
المعرِّفات الرقمية للأشياء
حالة النشرنُشِر - 15 أغسطس 2005

بصمة

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