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Volumn 70, Issue 7, 2009, Pages 2593-2601

Nonlocal nonlinear differential equations with a measure of noncompactness in Banach spaces

Author keywords

Equicontinuous semigroup; Hausdorff's measure of noncompactness; m dissipative operator; Nonlinear nonlocal initial condition

Indexed keywords

BANACH SPACES; TOPOLOGY;

EID: 59849128649     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2008.03.046     Document Type: Article
Times cited : (75)

References (28)
  • 1
    • 0008452639 scopus 로고    scopus 로고
    • Functional differential equations with nonlocal initial conditions
    • Aizicovici S., and Gao Y. Functional differential equations with nonlocal initial conditions. J. Appl. Math. Stoc. Anal. 10 (1997) 145-156
    • (1997) J. Appl. Math. Stoc. Anal. , vol.10 , pp. 145-156
    • Aizicovici, S.1    Gao, Y.2
  • 2
    • 0034140628 scopus 로고    scopus 로고
    • Existence results for a class of abstract nonlocal Cauchy problems
    • Aizicovici S., and McKibben M. Existence results for a class of abstract nonlocal Cauchy problems. Nonlinear Anal. 39 (2000) 649-668
    • (2000) Nonlinear Anal. , vol.39 , pp. 649-668
    • Aizicovici, S.1    McKibben, M.2
  • 4
    • 31244434224 scopus 로고    scopus 로고
    • Nonlocal Cauchy problems for delay integrodifferential equations of Sobolev type in Banach spaces
    • Balachandran K., and Chanderasekran J.P. Nonlocal Cauchy problems for delay integrodifferential equations of Sobolev type in Banach spaces. Appl. Math. Lett. 15 (2002) 845-854
    • (2002) Appl. Math. Lett. , vol.15 , pp. 845-854
    • Balachandran, K.1    Chanderasekran, J.P.2
  • 6
    • 0035877526 scopus 로고    scopus 로고
    • Nonlocal Cauchy problems for neutral functional differential and integrodifferential inclusions in Banach spaces
    • Benchohra M., and Ntouyas S. Nonlocal Cauchy problems for neutral functional differential and integrodifferential inclusions in Banach spaces. J. Math. Anal. Appl. 258 (2001) 573-590
    • (2001) J. Math. Anal. Appl. , vol.258 , pp. 573-590
    • Benchohra, M.1    Ntouyas, S.2
  • 7
    • 0038358957 scopus 로고    scopus 로고
    • Multivalued perturbation of m-accretive differential inclusions
    • Bothe D. Multivalued perturbation of m-accretive differential inclusions. Israel J. Math. 108 (1998) 109-138
    • (1998) Israel J. Math. , vol.108 , pp. 109-138
    • Bothe, D.1
  • 8
    • 44949272606 scopus 로고
    • Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
    • Byszewski L. Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem. J. Math. Anal. Appl. 162 (1991) 494-505
    • (1991) J. Math. Anal. Appl. , vol.162 , pp. 494-505
    • Byszewski, L.1
  • 9
    • 0001331533 scopus 로고
    • Existence and uniqueness of solutions of semilinear evolution nonlocal Cauchy problem
    • Byszewski L. Existence and uniqueness of solutions of semilinear evolution nonlocal Cauchy problem. Zesz. Nauk. Pol. Rzes. Mat. Fiz. 18 (1993) 109-112
    • (1993) Zesz. Nauk. Pol. Rzes. Mat. Fiz. , vol.18 , pp. 109-112
    • Byszewski, L.1
  • 10
    • 84948514180 scopus 로고
    • Theorems about the existence and uniqueness of a solutions of a nonlocal Cauchy problem in a Banach space
    • Byszewski L., and Lakshmikantham V. Theorems about the existence and uniqueness of a solutions of a nonlocal Cauchy problem in a Banach space. Appl. Anal. 40 (1990) 11-19
    • (1990) Appl. Anal. , vol.40 , pp. 11-19
    • Byszewski, L.1    Lakshmikantham, V.2
  • 11
    • 0032186835 scopus 로고    scopus 로고
    • Existence of solutions of a semilinear functional-differential evolution nonlocal problem
    • Byszewski L., and Akca H. Existence of solutions of a semilinear functional-differential evolution nonlocal problem. Nonlinear Anal. 34 (1998) 65-72
    • (1998) Nonlinear Anal. , vol.34 , pp. 65-72
    • Byszewski, L.1    Akca, H.2
  • 13
    • 0038137295 scopus 로고    scopus 로고
    • Existence of solutions for neutral functional differential evolution equations with nonlocal conditions
    • Fu X., and Ezzinbi K. Existence of solutions for neutral functional differential evolution equations with nonlocal conditions. Nonlinear Anal. 54 (2003) 215-227
    • (2003) Nonlinear Anal. , vol.54 , pp. 215-227
    • Fu, X.1    Ezzinbi, K.2
  • 14
    • 34548832257 scopus 로고    scopus 로고
    • Existence results and asymptotic behavior for nonlocal abstract Cauchy problems
    • García-Falset J. Existence results and asymptotic behavior for nonlocal abstract Cauchy problems. J. Math. Anal. Appl. 338 (2008) 639-652
    • (2008) J. Math. Anal. Appl. , vol.338 , pp. 639-652
    • García-Falset, J.1
  • 15
    • 0042125092 scopus 로고    scopus 로고
    • Mild solutions of evolution equations and measure of noncompactness
    • Ghisi M. Mild solutions of evolution equations and measure of noncompactness. Nonlinear Anal. 26 (1996) 1193-1205
    • (1996) Nonlinear Anal. , vol.26 , pp. 1193-1205
    • Ghisi, M.1
  • 16
    • 0040117719 scopus 로고
    • Evolutions governed by m-accretive plus compact operators
    • Gutman S. Evolutions governed by m-accretive plus compact operators. Nonlinear Anal. 7 (1983) 707-715
    • (1983) Nonlinear Anal. , vol.7 , pp. 707-715
    • Gutman, S.1
  • 17
    • 38249006923 scopus 로고
    • Existence and uniqueness of solutions of semilinear evolution nonlocal parabolic equations
    • Jackson D. Existence and uniqueness of solutions of semilinear evolution nonlocal parabolic equations. J. Math. Anal. Appl. 172 (1993) 256-265
    • (1993) J. Math. Anal. Appl. , vol.172 , pp. 256-265
    • Jackson, D.1
  • 18
    • 0041289943 scopus 로고
    • Multivalued differential equations in separable Banach spaces
    • Kisielewicz M. Multivalued differential equations in separable Banach spaces. J. Optim. Theory Appl. 37 (1982) 231-249
    • (1982) J. Optim. Theory Appl. , vol.37 , pp. 231-249
    • Kisielewicz, M.1
  • 19
    • 0000500160 scopus 로고    scopus 로고
    • Semilinear integrodifferential equations with nonlocal Cauchy problems
    • Lin Y., and Liu J. Semilinear integrodifferential equations with nonlocal Cauchy problems. Nonlinear Anal. 26 (1996) 1023-1033
    • (1996) Nonlinear Anal. , vol.26 , pp. 1023-1033
    • Lin, Y.1    Liu, J.2
  • 20
    • 0345134885 scopus 로고    scopus 로고
    • A remark on the mild solutions of nonlocal evolution equations
    • Liu J. A remark on the mild solutions of nonlocal evolution equations. Semigroup Forum 66 (2003) 63-67
    • (2003) Semigroup Forum , vol.66 , pp. 63-67
    • Liu, J.1
  • 22
    • 85025388519 scopus 로고
    • Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces
    • Monch H. Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces. Nonlinear Anal. 4 (1980) 985-999
    • (1980) Nonlinear Anal. , vol.4 , pp. 985-999
    • Monch, H.1
  • 23
    • 0031153492 scopus 로고    scopus 로고
    • Global existence for semilinear evolution equations with nonlocal conditions
    • Ntouyas S., and Tsamatos P. Global existence for semilinear evolution equations with nonlocal conditions. J. Math. Anal. Appl. 210 (1997) 679-687
    • (1997) J. Math. Anal. Appl. , vol.210 , pp. 679-687
    • Ntouyas, S.1    Tsamatos, P.2
  • 24
    • 84958531222 scopus 로고    scopus 로고
    • Global existence for semilinear integrodifferential equations with delay and nonlocal conditions
    • Ntouyas S., and Tsamatos P. Global existence for semilinear integrodifferential equations with delay and nonlocal conditions. Anal. Appl. 64 (1997) 99-105
    • (1997) Anal. Appl. , vol.64 , pp. 99-105
    • Ntouyas, S.1    Tsamatos, P.2
  • 25
    • 0003238540 scopus 로고
    • Nonlinear evolution operators and semigroup
    • Springer-Verlag, New York
    • Pavel N.H. Nonlinear evolution operators and semigroup. Lecture Notes in Math. vol. 1260 (1987), Springer-Verlag, New York
    • (1987) Lecture Notes in Math. , vol.1260
    • Pavel, N.H.1
  • 27
    • 25844492063 scopus 로고    scopus 로고
    • Multivalued perturbation to nonlinear differential inclusions with memory in Banach spaces
    • Xue X., and Song G. Multivalued perturbation to nonlinear differential inclusions with memory in Banach spaces. Chin. Ann. Math. 17B (1996) 237-244
    • (1996) Chin. Ann. Math. , vol.17 B , pp. 237-244
    • Xue, X.1    Song, G.2
  • 28
    • 26944502327 scopus 로고    scopus 로고
    • Nonlinear differential equations with nonlocal conditions in Banach spaces
    • Xue X. Nonlinear differential equations with nonlocal conditions in Banach spaces. Nonlinear Anal. 63 (2005) 575-586
    • (2005) Nonlinear Anal. , vol.63 , pp. 575-586
    • Xue, X.1


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