Bifurcation results for a class of perturbed Fredholm maps.
Benevieri, Pierluigi, Calamai, Alessandro (2008)
Fixed Point Theory and Applications [electronic only]
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Benevieri, Pierluigi, Calamai, Alessandro (2008)
Fixed Point Theory and Applications [electronic only]
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Benevieri, Pierluigi, Furi, Massimo (2006)
Abstract and Applied Analysis
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Obukhovskii, Valeri, Zecca, Pietro, Zvyagin, Victor (2002)
Abstract and Applied Analysis
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Benevieri, Pierluigi, Calamai, Alessandro, Furi, Massimo (2006)
Fixed Point Theory and Applications [electronic only]
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Andres, Jan (2005)
Fixed Point Theory and Applications [electronic only]
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Benevieri, Pierluigi, Calamai, Alessandro, Furi, Massimo (2005)
Fixed Point Theory and Applications [electronic only]
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Rabier, Patrick J., Salter, Mary F. (2005)
Abstract and Applied Analysis
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Rabier, Patrick J. (2009)
Boundary Value Problems [electronic only]
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L. H. Erbe, W. Krawcewicz (1991)
Annales Polonici Mathematici
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Applying the topological transversality method of Granas and the a priori bounds technique we prove some existence results for systems of differential inclusions of the form y'' ∈ F(t,y,y'), where F is a Carathéodory multifunction and y satisfies some nonlinear boundary conditions.
Dorota Gabor (2000)
Annales Polonici Mathematici
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We study a coincidence problem of the form A(x) ∈ ϕ (x), where A is a linear Fredholm operator with nonnegative index between Banach spaces and ϕ is a multivalued A-fundamentally contractible map (in particular, it is not necessarily compact). The main tool is a coincidence index, which becomes the well known Leray-Schauder fixed point index when A=id and ϕ is a compact singlevalued map. An application to boundary value problems for differential equations in Banach spaces is given. ...
Cecchi, Mariella, Furi, Massimo, Marini, Mauro, Pera, Maria Patrizia (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Dorota Gabor (2007)
Bollettino dell'Unione Matematica Italiana
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We consider the existence of solutions to the system of two inclusions involving Fredholm operators of nonnegative index and the so-called fundamentally restrictible maps with not necessarily convex values. We apply the technique of a solution map and, since the assumptions admit a 'dimension defect', we use the coincidence index, i.e. the homotopy invariant based on the cohomotopy theory. Two examples of applications to boundary value problems are included.
Filippakis, Michael E., Papageorgiou, Nikolaos S. (2004)
Fixed Point Theory and Applications [electronic only]
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