Abstract
In this chapter we shall consider the system of Fredholm integral equations
Keywords
- Singular Fredholm Integral Equations
- Constant Sign Solutions
- Axisymmetric Stagnation Flow
- Order Boundary Value Problems
- Nonnegative Continuous Function
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
R.P. Agarwal, D. O’Regan, Singular integral equations arising in Homann flow. Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Algorithms 9, 481–488 (2002)
R.P. Agarwal, D. O’Regan, P.J.Y. Wong, Positive Solutions of Differential, Difference and Integral Equations (Kluwer, Dordrecht, 1999)
R.P. Agarwal, D. O’Regan, P.J.Y. Wong, Constant-sign solutions of a system of Fredholm integral equations. Acta Appl. Math. 80, 57–94 (2004)
R.P. Agarwal, D. O’Regan, P.J.Y. Wong, Triple solutions of constant sign for a system of Fredholm integral equations. Cubo 6, 1–45 (2004)
R.P. Agarwal, D. O’Regan, P.J.Y. Wong, Constant-sign solutions of a system of integral equations: the semipositone and singular case. Asymptot. Anal. 43, 47–74 (2005)
R.P. Agarwal, D. O’Regan, P.J.Y. Wong, Constant-sign solutions of a system of integral equations with integrable singularities. J. Integr. Equat. Appl. 19, 117–142 (2007)
R.P. Agarwal, D. O’Regan, P.J.Y. Wong, Constant-sign solutions for systems of Fredholm and Volterra integral equations: the singular case. Acta Appl. Math. 103, 253–276 (2008)
R.P. Agarwal, D. O’Regan, P.J.Y. Wong, Constant-sign solutions for singular systems of Fredholm integral equations. Math. Meth. Appl. Sci. 33, 1783–1793 (2010)
G. Bonanno, An existence theorem of positive solutions to a singular nonlinear boundary value problem. Comment. Math. Univ. Carolin. 36, 609–614 (1995)
P.J. Bushell, On a class of Volterra and Fredholm non-linear integral equations. Math. Proc. Camb. Philos. Soc. 79, 329–335 (1976)
C. Corduneanu, Integral Equations and Stability of Feedback Systems (Academic, New York, 1973)
C. Corduneanu, Integral Equations and Applications (Cambridge University Press, New York, 1990)
S. Karlin, L. Nirenberg, On a theorem of P. Nowosad. J. Math. Anal. Appl. 17, 61–67 (1967)
M. Meehan, D. O’Regan, Positive solutions of singular integral equations. J. Integr. Equat. Appl. 12, 271–280 (2000)
P. Nowosad, On the integral equation \(\kappa f = \frac{1} {f}\) arising in a problem in communications. J. Math. Anal. Appl. 14, 484–492 (1966)
D. O’Regan, R.P. Agarwal, K. Perera, Nonlinear integral equations singular in the dependent variable. Appl. Math. Lett. 20, 1137–1141 (2007)
D. O’Regan, M. Meehan, Existence Theory for Nonlinear Integral and Integrodifferential Equations (Kluwer, Dordrecht, 1998)
J. Wang, W. Gao, Z. Zhang, Singular nonlinear boundary value problems arising in boundary layer theory. J. Math. Anal. Appl. 233, 246–256 (1999)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Agarwal, R.P., O’Regan, D., Wong, P.J.Y. (2013). System of Singular Fredholm Integral Equations. In: Constant-Sign Solutions of Systems of Integral Equations. Springer, Cham. https://doi.org/10.1007/978-3-319-01255-1_11
Download citation
DOI: https://doi.org/10.1007/978-3-319-01255-1_11
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-01254-4
Online ISBN: 978-3-319-01255-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)