Open AccessON THE EXISTENCE OF SOLUTIONS WITH PRESCRIBED NUMBER OF ZEROS TO REGULAR NONLINEAR EMDEN - FOWLER TYPE THIRD-ORDER EQUATION WITH VARIABLE COEFFICIENT
Author(s) -
V. V. Rogachev
Publication year - 2015
Publication title -
vestnik samarskogo universiteta. estestvennonaučnaâ seriâ
Language(s) - English
Resource type - Journals
eISSN - 2712-8954
pISSN - 2541-7525
DOI - 10.18287/2541-7525-2015-21-6-117-123
Subject(s) - mathematics , variable (mathematics) , type (biology) , constant (computer programming) , mathematical analysis , nonlinear system , order (exchange) , variable coefficient , physics , ecology , finance , quantum mechanics , economics , biology , computer science , programming language
A third order Emden - Fowler type equation is considered. Existence of solution with given number of zeros on given interval is proved. This theorem extends previous results, related to Emden - Fowler type equation with constant coecient, in case of variable coecient.