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Article information
2010 , Volume 15, ¹ 3, p.8-12
Vujakovich J., Rajovich M.
An idea for determination of zeros of complex differential equations
The research of complex differential equations regarding to zero solutions is very important, because zero function in a way symbolizes oscillation. Unlike Rolf Nevannlina's classical theory on evaluation of the number of zeros of the entire analytical function, and the entire solutions of complex differential equations, this paper suggests searching and finding of zero locations by simplified, generalized and accessible Sturm's theorems on the locations of zero solutions of oscillatory equations (but without theory of groups). This paper is an introductory work into the whole problem of zero locations of complex differential equations. After the year 2000, the authors have noticed over 50 works about the evaluation of supremum of the number of zero solutions of complex differential equations, but they are of Nevannlina-type and do not contain any essential novelties
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Keywords: a series-iteration method, complex differential equation, euclidean sine and cosine, Sturms functions
Author(s):
Vujakovich Jelena
Position: The master of mathematics
Office: University in Pristina
Address: 038200, Serbia, Kosovska Mitrovica, Lole Ribara 29
Phone Office: (812) 842 5397
E-mail: enav@ptt.rs
Rajovich Miloje
Dr. , Professor
Office: University in Kragujevac
Address: 036000, Serbia, Kraljevo, Dositejeva 19
Phone Office: (812) 842 5397
E-mail: rajovic.m@mfkv.kg.ac.rs
Bibliography link:
Vujakovich J., Rajovich M. An idea for determination of zeros of complex differential equations // Computational technologies. 2010. V. 15. ¹ 3. P. 8-12
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