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Applicable Analysis
An International Journal
Volume 93, 2014 - Issue 9
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Articles

Two-point problem for vector differential inclusions with discontinuous right-hand side

Paolo CubiottiDepartment of Mathematics and Computer Science, University of Messina, Viale F. Stagno d’Alcontres 31, Messina98166, Italy.
&
Jen-Chih YaoCenter for Fundamental Science, Kaohsiung Medical University, Kaohsiung807, Taiwan R.O.C..;Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah21589, Saudi Arabia.Correspondence[email protected]
Pages 1811-1823 | Received 18 Aug 2013, Accepted 23 Sep 2013, Published online: 18 Oct 2013

References

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  • Cubiotti P, Yao JC. Second-order implicit differential inclusions with discontinuous right-hand side. J. Nonlinear Convex Anal. in press.
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  • Klein E, Thompson AC. Theory of correspondences. New York (NY): John Wiley and Sons; 1984.
  • Cubiotti P. Non-autonomous vector integral equations with discontinuous right-hand side. Comment. Math. Univ. Carolinae. 2001;42:319–329.
  • Naselli Ricceri O, Ricceri B. An existence theorem for inclusions of the type ψ (u)(t) ∈ F(t, ϕ (u)(t)) and application to a multivalued boundary value problem. Appl. Anal. 1990;38:259–270.
  • Villani A. On Lusin’s condition for the inverse function. Rend. Circ. Mat. Palermo. 1984;33:331–335.
  • Hewitt E, Stromberg K. Real and abstract analysis. Berlin: Springer-Verlag; 1965.

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