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- W1507523968 abstract "In this paper, we study the existence of positive solutions of a one-parameter family of logistic equations on <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper R Subscript plus> <mml:semantics> <mml:msub> <mml:mi>R</mml:mi> <mml:mo>+</mml:mo> </mml:msub> <mml:annotation encoding=application/x-tex>R_+</mml:annotation> </mml:semantics> </mml:math> </inline-formula> or on <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper R> <mml:semantics> <mml:mi>R</mml:mi> <mml:annotation encoding=application/x-tex>R</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. These equations are stationary versions of the Fisher equations and the KPP equations. We also study the blow-up region of a sequence of the solutions when the parameter approaches a critical value and the non-existence of positive solutions beyond the critical value. We use the direct method and the sub and super solution method." @default.
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- W1507523968 date "2002-04-22" @default.
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- W1507523968 title "Positive solutions of a logistic equation on unbounded intervals" @default.
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- W1507523968 doi "https://doi.org/10.1090/s0002-9939-02-06405-5" @default.
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