### Precise spectral asymptotics for nonautonomous logistic equations of population dynamics in a ball.

Shibata, Tetsutaro (2005)

Abstract and Applied Analysis

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Shibata, Tetsutaro (2005)

Abstract and Applied Analysis

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Ziyatkhan Aliyev (2014)

Open Mathematics

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In this paper, we consider the nonlinear fourth order eigenvalue problem. We show the existence of family of unbounded continua of nontrivial solutions bifurcating from the line of trivial solutions. These global continua have properties similar to those found in Rabinowitz and Berestycki well-known global bifurcation theorems.

Jérôme Busca, Maria J. Esteban, Alexander Quaas (2005)

Annales de l'I.H.P. Analyse non linéaire

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Afrouzi, G. A., Ghasemzadeh, H. (2002)

International Journal of Mathematics and Mathematical Sciences

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Jolanta Przybycin (1999)

Annales Polonici Mathematici

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We give a sufficient condition for [μ-M, μ+M] × {0} to be a bifurcation interval of the equation u = L(λu + F(u)), where L is a linear symmetric operator in a Hilbert space, μ ∈ r(L) is of odd multiplicity, and F is a nonlinear operator. This abstract result provides an elementary proof of the existence of bifurcation intervals for some eigenvalue problems with nondifferentiable nonlinearities. All the results obtained may be easily transferred to the case of bifurcation from infinity. ...

Shibata, Tetsutaro (2009)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Corrêa, F.J.S.A. (1998)

International Journal of Mathematics and Mathematical Sciences

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Benguria, Rafael D., Depassier, M.Cristina (2001)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Mario Zuluaga Uribe (1999)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we consider an elliptic system at resonance and bifurcation type with zero Dirichlet condition. We use a Lyapunov-Schmidt approach and we will give applications to Biharmonic Equations.

Montenegro, Marcelo (2002)

Abstract and Applied Analysis

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