1 |
R.P. Agrawal, D.O'Regan and P.J.Y. Wang, Positive Solution of Differential. Difference and Integral Equation, Dordrecht, Kluwer Academic, (1999).
|
2 |
J. Banas and B. Rzepka, On existence and asymptotic stability of solutions of a nonlinear integral equation. J. Math. Anal. Appl. 284 (2003), 165-173.
DOI
|
3 |
R. P. Agarwal and D. ORegan, Existence of Solutions to Singular Integral Equations. Comput. Math. Appl. 37 (1999), 25-29.
DOI
|
4 |
H. Brunner, Collocation Methods for Volterra Integral and Related Functional Differential Equations, Cambridge University Press, (2004).
|
5 |
J. Brzdek, On a method of proving the HyersUlam stability of functional equations on restricted domains. Aust. J. Math. Anal. Appl. 6 (2009), 1-10.
|
6 |
L. P. Castro and A. Ramos, Stationary Hyers-Ulam-Rassias stability for a class of nonlinear Volterra integral equations, Banach J. Math. Anal. 3 (2009), 36-43.
DOI
|
7 |
Deepmala and H.K. Pathak, A study on some problems on existence of solution for non-linear functional integral equations, Acta Mathematica Scientia 33B (5)(2013) 1305-1313.
DOI
|
8 |
Deepmala, V.N. Mishra, H.R. Marasi, H.Shabanian, M. Nosraty, Solutions of volterra fredholm integro differential equations using cheyshev collection method, Global journal of Tech. optim. 8 :210 (2017) doi:10.4172/2229-8711.1000210.
DOI
|
9 |
G. B. Folland, Real Analysis Modern Techniques and Their Application, University of Washington, 1984.
|
10 |
M. Gachpazan and O. Baghani, Hyers-Ulam stability of Volterra integral equation. Int. J. Nonlinear Anal. Appl. 1 (2010), 19-25.
|
11 |
M. Gachpazan and O. Baghani, Hyers-Ulam stability of nonlinear integral equation. Fixed Point Theory and Applications, ID 927640 (2010).
|
12 |
D. H. Hyers, On the stability of the linear functional equation, Proc. Nat. Acad. Sci. USA 27 (1941), 222-224.
DOI
|
13 |
S. M. Jung, A fixed point approach to the stability of a Volterra integral equation, Fixed Point Theory and Applications, ID 57064 (2007).
|
14 |
K. Maleknejad, K. Nouri and R. Mollapourasl, Existence of solutions for some nonlinear integral equations. Commun. Nonlinear Sci. Numer. Simulat. 14 (2009), 2559-2564.
DOI
|
15 |
L.N. Mishra, R.P.Agrawal, M.Sen, Solvability and asymptotics behaviour for some non-linear quadratic integral equation involving Erdelyi-Kober fractional integrals on the un-bounded integral, Progress in Fractional Differentiation and applications 3 (2016) 153-168.
|
16 |
L.N. Mishra, R.P. Agrawal, On existence theorems for some nonlinear functional-integral equations, Dynamic systems and Applications 25 (2016), 303-320.
|
17 |
L.N. Mishra, M. Sen, On the concept of existence and local attractivity solutions for some quadratic volterra integral equation of functional order, Applied mathematics and computations 285 (2016) 174-183.
DOI
|
18 |
D. ORegan and M. Meehan, Existence Theory for Nonlinear Integral and Integro differential Equations, Dordrecht, Kluwer Academic, (1998).
|
19 |
Z. Moszner, On the stability of functional equations, Aequationes Math. 77 (2009), 33-88.
DOI
|
20 |
M. Meehan and D. ORegan, Existence theory for nonlinear Volterra integro-differential and integral equations. Nonlinear Anal. Theor. 31 (1998), 317-341.
DOI
|
21 |
B. Paneah, A new approach to the stability of linear functional operators, Aequationes Math. 78 (2009), 45-61.
DOI
|
22 |
W. Prager and J. Schwaiger, Stability of the multi-Jensen equation. Bull. Korean Math. Soc. 45 (2008), 133-142.
DOI
|
23 |
S. M. Ulam, Problems in Modern Mathematics, Chapter VI. Wiley, New York,(1960).
|
24 |
G. Wang, M. Zhou and L. Sun, HyersUlam stability of linear differential equation of first order. Appl. Math. Lett. 21 (2008), 1024-1028.
DOI
|