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The Existence of Periodic and Almost Periodic Solutions of Logistic Type Equation 被引量:1

The Existence of Periodic and Almost Periodic Solutions of Logistic Type Equation
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摘要 In this paper, we study the Logistic type equation x= a(t)x -b(t)x^2+ e(t). Under the assumptions that e(t) is small enough and a(t), b(t) are contained in some positive intervals, we prove that this equation has a positive bounded solution which is stable. Moreover, this solution is a periodic solution if a(t), b(t) and e(t) are periodic functions, and this solution is an almost periodic solution if a(t), b(t) and e(t) are almost periodic functions. In this paper, we study the Logistic type equation x= a(t)x -b(t)x^2+ e(t). Under the assumptions that e(t) is small enough and a(t), b(t) are contained in some positive intervals, we prove that this equation has a positive bounded solution which is stable. Moreover, this solution is a periodic solution if a(t), b(t) and e(t) are periodic functions, and this solution is an almost periodic solution if a(t), b(t) and e(t) are almost periodic functions.
出处 《Northeastern Mathematical Journal》 CSCD 2007年第4期298-310,共13页 东北数学(英文版)
关键词 Logistic type equation periodic solution almost periodic solution Logistic type equation, periodic solution, almost periodic solution
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