Some Applications of the Leray-Schauder Alternative to Differential Equations

Bielawski, R.; Gorniewicz, L.

doi:10.1007/978-94-009-4632-3_11

R. Bielawski² &
L. Gorniewicz²

Part of the book series: NATO ASI Series ((ASIC,volume 173))

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Abstract

Many authors comp. [2], [5], [10], [11] considered differential equations of the following type:

$$x'(t)\, = \,f(t,\,x(t)\,,\,x'\,(t)).$$

((1))

where f: [0,a] x Rⁿ x Rⁿ → Rⁿ is a continuous map satisfying some suitable assumptions.

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Authors and Affiliations

Institute of Mathematics, University of Nicholas Copernicus, Chopina 12/18, 87 100, Torun, Poland
R. Bielawski & L. Gorniewicz

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R. Bielawski
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L. Gorniewicz
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Editors and Affiliations

Dept. of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, Newfoundland, Canada
S. P. Singh

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Bielawski, R., Gorniewicz, L. (1986). Some Applications of the Leray-Schauder Alternative to Differential Equations. In: Singh, S.P. (eds) Nonlinear Functional Analysis and Its Applications. NATO ASI Series, vol 173. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4632-3_11

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DOI: https://doi.org/10.1007/978-94-009-4632-3_11
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8559-5
Online ISBN: 978-94-009-4632-3
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