Second order multivalued boundary value problems
Nikolaos Halidias; Nikolaos S. Papageorgiou
Archivum Mathematicum (1998)
- Volume: 034, Issue: 2, page 267-284
- ISSN: 0044-8753
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topHalidias, Nikolaos, and Papageorgiou, Nikolaos S.. "Second order multivalued boundary value problems." Archivum Mathematicum 034.2 (1998): 267-284. <http://eudml.org/doc/248205>.
@article{Halidias1998,
author = {Halidias, Nikolaos, Papageorgiou, Nikolaos S.},
journal = {Archivum Mathematicum},
keywords = {upper solution; lower solution; usc and lsc multifunction; Sturm-Liouville boundary conditions},
language = {eng},
number = {2},
pages = {267-284},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Second order multivalued boundary value problems},
url = {http://eudml.org/doc/248205},
volume = {034},
year = {1998},
}
TY - JOUR
AU - Halidias, Nikolaos
AU - Papageorgiou, Nikolaos S.
TI - Second order multivalued boundary value problems
JO - Archivum Mathematicum
PY - 1998
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 034
IS - 2
SP - 267
EP - 284
LA - eng
KW - upper solution; lower solution; usc and lsc multifunction; Sturm-Liouville boundary conditions
UR - http://eudml.org/doc/248205
ER -
References
top- Bernfeld S., Lakshmikantham V., An Introduction to Nonlinear Boundary Value Problems, Academic Press, New York (1974). (1974) Zbl0286.34018MR0445048
- Bressan A., Colombo G., Extensions and selections of maps with decomposable values, Studia Math. 90 (1988), 69–85. (1988) Zbl0677.54013MR0947921
- Brezis H., Analyse Fonctionelle, Masson, Paris (1983). (1983) MR0697382
- Cabada A., Nieto J., Extremal solutions of second order nonlinear boundary value problems, Appl. Math. Comp. 40 (1990), 135–145. (1990) MR1080229
- Chang K. C., The obstacle problem and partial differential equations with discontinuous nonlinearities, Comm. Pure Appl. Math. 33 (1980), 117–146. (1980) Zbl0405.35074MR0562547
- DeBlasi F. S., Myjak J., On continuous approximations for multifunctions, Pacific J. Math. 123 (1986), 9–31. (1986) MR0834135
- Dunford N., Schwartz J., Linear Operators I, Wiley, New York (1958). (1958)
- Erbe L., Krawcewicz W., Boundary value problems for differential inclusions , Annales Polon Math. 56 (1990), 195–226. (1990) MR1114171
- Gaines R., Mawhin J., Coincidence Degree and Nonlinear Differential Equations, Springer Verlag, Berlin (1977). (1977) Zbl0339.47031MR0637067
- Gao W., Wang J., On nonlinear second order periodic boundary value problem with Caratheodory functions, Annales Polon Math. 62 (1995), 283–291. (1995) MR1356797
- Gilbarg D., Trudinger N., Elliptic Partial Differential Equations of Second Order, Springer Verlag, New York (1977). (1977) Zbl0361.35003MR0473443
- Himmelberg C., Fixed points of compact multifunctions, J. Math. Anal. Appl. 38 (1972). (1972) Zbl0225.54049MR0303368
- Kandilakis D., Papageorgiou N. S., Dirichlet and periodic problems for second order differential inclusions, Houston J. Math. – to appear.
- Klein E., Thompson A., Theory of Correspondences, Wiley, New York (1984). (1984) Zbl0556.28012MR0752692
- Kravvaritis D., Papageorgiou N. S., Boundary value problems for nonconvex differential inclusions, J. Math. Anal. Appl. 185 (1994), 146–160. (1994) Zbl0817.34009MR1283047
- Leela S., Monotone method for second order periodic boundary value problems, Nonl. Anal. – TMA 7 (1983), 349–355. (1983) Zbl0524.34023MR0696734
- Marano S., Existence theorems for multivalued boundary value problems, Bull. Austr. Math. Soc. 45 (1992), 249–260. (1992) MR1155483
- Mönch H., Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces, Nonl. Anal. – TMA 4 (1980), 985–999. (1980) MR0586861
- Nieto J., Nonlinear second order periodic value problems with Caratheodory functions, Appl. Anal. 34 (1989), 111–128. (1989)
- Nieto J., Cabada A., A generalized upper and lower solutions method for nonlinear second order ordinary differential equations, J. Appl. Math. Stoch. Anal. 5 (1992), 157–166. (1992) Zbl0817.34016MR1214298
- Nkashama M. N., A generalized upper and lower solutions method and multiplicity results for nonlinear first–order ordinary differential equations, J. Math. Anal. Appl. 140 (1989), 381–395. (1989) Zbl0674.34009MR1001864
- Omari P., A monotone method for constructing extremal solutions of second order scalar boundary value problems, Appl. Math. Comp. 18 (1986), 257–275. (1986) Zbl0625.65075MR0827837
- Omari P., Trombetta M., Remarks on the lower and upper solutions method for second and third order periodic boundary value problems, Appl. Math. Comp. 50 (1992), 1–21. (1992) Zbl0760.65078MR1164490
- Papageorgiou N. S., Convergence theorems for Banach space valued integrable multifunctions, Intern. J. Math.. Sci. 10 10 (1987), 433–442. (1987) Zbl0619.28009MR0896595
- Papageorgiou N. S., On measurable multifunctions with applications to multivalued equations, Math. Japonica 32 (1987), 437–464. (1987) MR0914749
- Papageorgiou N. S., Decomposable sets in the Lebesgue–Bochner spaces, Comm. Math. Univ. Sancti Pauli 37 (1988), pp. 49–62. (1988) Zbl0679.46032MR0942305
- Papageorgiou N. S., Papalini F., Periodic and boundary value problems for second order differential equations, Trans. AMS – to appear. Zbl0986.34011MR1818423
- Vrabie I., Compactness Methods for Nonlinear Evolutions, Longman Scientific and Technical, Essex, U.K. (1987). (1987) Zbl0721.47050MR0932730
- Wagner D., Survey of measurable selection theorems, SIAM J. Control Optim. 15 (1977), 859–903. (1977) Zbl0407.28006MR0486391
Citations in EuDML Documents
top- Bupurao C. Dhage, Adrian Petruşel, The method of upper and lower solutions for perturbed nth order differential inclusions
- Nikolaos Halidias, Nikolaos S. Papageorgiou, Existence of solutions for nonlinear parabolic problems
- Bupurao C. Dhage, Some algebraic fixed point theorems for multi-valued mappings with applications
- Bapur Chandra Dhage, On boundary value problems of second order differential inclusions
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