Existence and nonexistence of entire solutions to the logistic differential equation
نویسندگان
چکیده
منابع مشابه
Existence and Nonexistence of Entire Solutions to the Logistic Differential Equation
We consider the one-dimensional logistic problem (rαA(|u′|)u′)′ = rαp(r) f (u) on (0,∞), u(0) > 0, u′(0)= 0, where α is a positive constant and A is a continuous function such that the mapping tA(|t|) is increasing on (0,∞). The framework includes the case where f and p are continuous and positive on (0,∞), f (0) = 0, and f is nondecreasing. Our first purpose is to establish a general nonexiste...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2003
ISSN: 1085-3375,1687-0409
DOI: 10.1155/s1085337503305020