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- W1967013607 abstract "We study the existence of non-trivial solutions of the following family of differential inclusions of second order (S) $$left{ begin{gathered} y''(t) in F(p, t, y(t), y'(t)) t in [0,a] , hfill (y(0), y'(0), y(a), y'(a)) in b(p) , hfill end{gathered} right.$$ where $$F:P times [0,a] times mathbb{R}^n times mathbb{R}^n to 2^{mathbb{R}^n } $$ is a Carathéodory multifunction with non-empty compact convex values and b: P→G2n(ℝ4n) is a continuous map from a CW-complex P to the Grassmann manifold G2n(ℝ4n). We show that if (X,A) is a finite CW-pair in P, A contractible in X, b: (X, A)→(G2n(ℝ4n), pt) is such that and F satisfies the Nagumo growth conditions at some point p0 ε X, then the system (S) has a bifurcation from infinity in X; i.e. there exists a sequence of non-trivial solutions of S whose norms in the space C1 tend to infinity." @default.
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- W1967013607 date "1993-12-01" @default.
- W1967013607 modified "2023-10-05" @default.
- W1967013607 title "Bifurcations of a parametrized family of boundary value problems for second order differential inclusions" @default.
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- W1967013607 doi "https://doi.org/10.1007/bf01765848" @default.
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