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Volumn 15, Issue 3, 2008, Pages 391-401

Successive approximations to solutions of set differential equations in Banach spaces

Author keywords

Existence and uniqueness theorem; Set differential equations

Indexed keywords

EID: 43749106462 PISSN: 12013390 EISSN: None Source Type: Journal
DOI: None Document Type: Article

Times cited : (12)

References (11)

1
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- Gnana Bhaskar, T.¹ Lakshmikantham, V.²

2
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- F. Hiai and Umegaki, Integrals, Conditional Expectations, and Martingales of Multivalued Functions, J. Multivar. Anal., 7, (1977) 149-182.
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- Hiai, F.¹ Umegaki²

3
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- Set Valued Hybrid Differential Equations and Stability in Terms of two Measures
- V. Lakshmikantham, S. Leea and A. S. Vatsala, Set Valued Hybrid Differential Equations and Stability in Terms of two Measures, J. Hybrid Syst., 2, (2002) 169-188.
- (2002) J. Hybrid Syst , vol.2 , pp. 169-188
- Lakshmikantham, V.¹ Leea, S.² Vatsala, A.S.³

4
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- Cambridge Scientific Publishers
- V. Lakshmikantham, T. Gnana Bhaskar and J. Vasundhara Devi, Theory of Set Differential Equations in Metric Spaces, Cambridge Scientific Publishers, 2006.
- (2006) Theory of Set Differential Equations in Metric Spaces
- Lakshmikantham, V.¹ Gnana Bhaskar, T.² Vasundhara Devi, J.³

5
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- Academic Press, New York
- V. Lakshmikantham and S. Leea, Differential and Integral Inequalities, vol. I, Academic Press, New York, 1969.
- (1969) Differential and Integral Inequalities , vol.1
- Lakshmikantham, V.¹ Leea, S.²

6
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- Set Differential Equations in Metric Spaces: An introduction and application to fuzzy differential equations
- V. Lakshmikantham and J. Nieto, Set Differential Equations in Metric Spaces: an introduction and application to fuzzy differential equations, Dynamics of Continuous, Discrete, and Impulsive Systems, 10, (2003) 991-1000.
- (2003) Dynamics of Continuous, Discrete, and Impulsive Systems , vol.10 , pp. 991-1000
- Lakshmikantham, V.¹ Nieto, J.²

7
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- Set Differential Equations and Monotone Flow
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- (2003) Nonlinear Dyn. Stability Theory , vol.3 , pp. 33-43
- Lakshmikantham, V.¹ Vatsala, A.S.²

8
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- Convergence Theorem for Banach Space Valued Integrable Multifunction
- N. S. Papageorgiou, Convergence Theorem for Banach Space Valued Integrable Multifunction, Intern. J. Math and Math. Sci., 10, (1987) 433-442.
- (1987) Intern. J. Math and Math. Sci , vol.10 , pp. 433-442
- Papageorgiou, N.S.¹

9
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- Kluwer Academic Publishers, Dodrecht
- A. Tolstonogov, Differential Inclusions in a Banach Space, Kluwer Academic Publishers, Dodrecht, 2000.
- (2000) Differential Inclusions in a Banach Space
- Tolstonogov, A.¹

10
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- Basic Results in Set Differential Equations
- J. Vasundhara Devi, Basic Results in Set Differential Equations, Nonlinear Studies, 10, (2003) 259-272.
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11
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- Global Convergence of Successive Approximations
- G. Vidossich, Global Convergence of Successive Approximations, J. Math. Anal Appl., 45, (1974) 285-292.
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- Vidossich, G.¹

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