Voir la notice de l'article provenant de la source Library of Science
Dhage, Bapur. On boundary value problems of second order differential inclusions. Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 24 (2004) no. 1, pp. 73-96. http://geodesic.mathdoc.fr/item/DMDICO_2004_24_1_a5/
@article{DMDICO_2004_24_1_a5,
author = {Dhage, Bapur},
title = {On boundary value problems of second order differential inclusions},
journal = {Discussiones Mathematicae. Differential Inclusions, Control and Optimization},
pages = {73--96},
year = {2004},
volume = {24},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/DMDICO_2004_24_1_a5/}
}
TY - JOUR AU - Dhage, Bapur TI - On boundary value problems of second order differential inclusions JO - Discussiones Mathematicae. Differential Inclusions, Control and Optimization PY - 2004 SP - 73 EP - 96 VL - 24 IS - 1 UR - http://geodesic.mathdoc.fr/item/DMDICO_2004_24_1_a5/ LA - en ID - DMDICO_2004_24_1_a5 ER -
[1] R. Agarwal, B.C. Dhage and D. O'Regan, The upper and lower solution method for differential inclusions via a lattice fixed point theorem, Dynamic Systems Appl. 12 (2003), 1-7.
[2] J. Appell, H.T. Nguven and P. Zabreiko, Multi-valued superposition operators in ideal spaces of vector functions, Indag. Math. 3 (1992), 1-8.
[3] J. Aubin and A. Cellina, Differential Inclusions, Springer Verlag 1984.
[4] P.B. Bailey, L.F. Shampine and P.E. Waltman, Nonlinear Two Point Boundary Value Problems, Academic Press, New York 1968.
[5] G. Birkhoff, Lattice Theory, Amer. Math. Soc. Coll. Publ. vol. 25, New York 1967.
[6] S. Bernfield and V. Lakshmikantham, An Introduction to Boundary Value Problems, Academic Press, New York 1974.
[7] M. Benchohra, Upper and lower solutions method for second order differential inclusions, Dynam. Systems Appl. 11 (2002), 13-20.
[8] M. Benchohra and S.K. Ntouyas, On second order differential inclusions with periodic boundary conditions, Acta Math. Univ. Comenianea LXIX (2000), 173-181.
[9] M. Benchohra and S.K. Ntouyas, The lower and upper solutions method for first order differential inclusions with nonlinear boundary conditions, J. Ineq. Pure Appl. Math. 3 (1) (2002), Art. 14.
[10] B.C. Dhage, A functional integral inclusion involving discontinuities, Fixed Point Theory 5 (2004), 53-64.
[11] B.C. Dhage, A fixed point theorem for multi-valued mappings in Banach spaces with applications, Nonlinear Anal. (to appear).
[12] B.C. Dhage, Monotone method for discontinuous differential inclusions, Math. Sci. Res. J. 8 (3) (2004), 104-113.
[13] B.C. Dhage and S.M. Kang, Upper and lower solutions method for first order discontinuous differential inclusions, Math. Sci. Res. J. 6 (2002), 527-533.
[14] B.C. Dhage and S. Heikkila, On nonlinear boundary value problems with deviating arguments and discontinuous right hand side, J. Appl. Math. Stoch. Anal. 6 (1993), 83-92.
[15] B.C. Dhage, T.L. Holambe and S.K. Ntouyas, Upper and lower solutions method for second order discontinuous differential inclusions, Math. Sci. Res. J. 7 (2003), 206-212.
[16] B.C. Dhage and D.O. Regan, A lattice fixed point theorem and multi-valued differential equations, Functional Diff. Equations 9 (2002), 109-115.
[17] J. Dugundji and A. Granas, Fixed point theory, Springer Verlag 2003.
[18] N. Halidias and N. Papageorgiou, Second order multi-valued boundary value problems, Arch. Math. (Brno) 34 (1998), 267-284.
[19] S. Heikkila, On second order discontinuous scalar boundary value problem, Nonlinear Studies 3 (2) (1996), 153-162.
[20] S. Heikkila and V. Lakshmikantham, Monotone Iterative Techniques for Discontinuous Nonlinear Differential Equations, Marcel Dekker Inc., New York 1994.
[21] S. Heikkila, J.W. Mooney and S. Seikkila, Existence, uniqueness and comparison results for nonlinear boundary value problems involving deviating arguments, J. Diff. Eqn 41 (3) (1981), 320-232.
[22] A. Lasota and Z. Opial, An application of the Kakutani-Ky Fan theorem in the theory of ordinary differential equations , Bull. Acad. Pol. Sci. Ser. Sci. Math. Astronom. Phys. 13 (1965), 781-786.
[23] M. Martelli, A Rothe's type theorem for non compact acyclic-valued maps, Boll. Un. Mat. Ital. 4 (Suppl. Fasc.) (1975), 70-76.