Existence principles for continuous and discrete equations on infinite intervals in Banach spaces

Mathematische Nachrichten

Volumn 207, Issue , 1999, Pages 5-19

  Agarwal, Ravi P ^a   O'Regan, Donal ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002929025     PISSN: 0025584X     EISSN: None     Source Type: Journal    
DOI: 10.1002/mana.1999.3212070102     Document Type: Article

References (11)

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2. AGARWAL, R. P., and O'REGAN, D.: A Fixed Point Approach for Nonlinear Discrete Boundary Value Problems, Advances in Difference Equations II, Computers Math. Appl. 36 (10-12) (1998), 115-121
3. BREZIS, H., and BROWDER, F. E.: Existence Theorems for Nonlinear Integral Equations of Hammerstein Type, Bull. Amer. Math. Soc. 81 (1975), 73-78
4. CORDUNEANU, C.: Integral Equations and Stability of Feedback Systems, Academic Press, New York, 1973
5. DUGUNDJI, J., and GRANAS, A.: Fixed Point Theory, Monografie Mathematyczne, Warsaw, 1982
6. KARTSATOS, A. G.: The Leray-Schauder Theorem and the Existence of Solutions to Boundary Value Problems on Infinite Intervals, Indiana Univ. Math. Jour. 23 (1974), 1021-1029
7. LAKSHMIKANTHAM, V., and LEELA, S.: Nonlinear Differential Equations in Abstract Spaces, Pergamon Press, New York, 1981
8. MEEHAN, M., and O'REGAN, D.: Existence Theory for Nonlinear Fredholm and Volterra Integral Equations on Half Open Intervals, Nonlinear Analysis 35 (1999), 355-387
9. O'REGAN, D.: Nonnegative Solutions to Superlinear Problems of Generalized Gelfand Type, Jour. Applied Maths. and Stochastic Analysis 8 (1995), 275-290
10. O'REGAN, D.: Volterra and Urysohn Integral Equations in Banach Spaces, Jour. Applied Maths. and Stochastic Analysis 11 (1998), 449-464
11. PRZERADZKI, B.: The Existence of Bounded Solutions for Differential Equations in Hilbert Spaces, Annales Polonici Mathematici 56 (1992), 103-121