1 |
S. S. Dragomir and Y. -H. Kim, Some integral inequalities for function of two variables, Electron. J. Differential Equations 10 (2003), 1-13
|
2 |
D. Bainov and P. Simeonov, Integral Inequalities and Applications, Kluwer Academic Publishers, Dordrecht, 1992
|
3 |
E. F. Beckenbach and R. Bellman, Inequalities, Springer-Verlag, New York, 1961
|
4 |
R. Bellman, The stability of solutions of linear differential equations, Duke Math. J. 10 (1943), 643-647
DOI
|
5 |
Ya. V. Bykov and Kh. M. Salpagarov, On the theory of integro-differential equations, in Investigations in Integro-Differential Equations in Khirghizia 2 Izd. Akad. Nauk Kirghizia SSR, (1962) (in Russian)
|
6 |
S. S. Dragomir and Y. -H. Kim, On certain new integral inequalities and their applications, JIPAM. J. Inequal. Pure Appl. Math. 3 (2002), 1-8, Issue 4, Article 65
|
7 |
A. Mate and P. Neval, Sublinear perturbations of the differential equation and of the analogous difference equation, J. Differential Equations 53 (1984), no. 2, 234-257
DOI
|
8 |
D. S. Mitrinovic, J. E. Pecaric, and A. M. Fink, Inequalities involving functions and their integrals and derivatives, Kluwer Academic Publishers, Dordrecht, Boston, London, 1991
|
9 |
B. G. Pachpatte, On some fundamental integral inequalities and their discrete analogues, J. Inequal. Pure Appl. Math. 2 (2001), 1-13, Issue 2, Article 15
|
10 |
M. Rab, Linear integral inequalities, Arch. Math. (Brno) 15 (1979), no. 1, 37-46
|
11 |
Yu. A. Ved, On perturbations of linear homogeneous differential equations with variable coefficients, In: Issled. Integro-Differents. Uravn. Kirghizia 3 Ilim. Frunze (1965), (In Russian)
|
12 |
S. S. Dragomir and N. M. Ionescu, On nonlinear integral inequalities in two independent variables, Studia Univ. Babes-Bolyai, Math. 34 (1989), no. 2, 11- 17
|
13 |
T. H. Gronwall, Note on the derivatives with respect to a parameter of solutions of a system of differential equations, Ann. of Math. 20 (1919), no. 4, 292-296
DOI
|
14 |
L. Guiliano, Generalazzioni di un lemma di Gronwall, Rend. Accad., Lincei, 1946, pp. 1264-1271
|
15 |
I. Bihari, A generalization of a lemma of Bellman and its application to unique- ness problems of differential equations, Acta. Math. Acad. Sci. Hungar. 7 (1956), 81-94
DOI
|
16 |
V. V. Nemyckii and V. V. Stepanov, Qualitative theory of differential equations (Russian), Moscow, OGIZ, 1947
|
17 |
C. E. Langenhop, Bounds on the norm of a solution of a general differential equation, Proc. Amer. Math. Soc. 11 (1960), 795-799
|