Some Gronwall Type Inequalities and Applications
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[1] T. H. Gronwall. Note on the Derivatives with Respect to a Parameter of the Solutions of a System of Differential Equations , 1919 .
[2] W. Reid. Properties of solutions of an infinite system of ordinary linear differential equations of the first order with auxiliary boundary conditions , 1930 .
[3] José Carlos Goulart de Siqueira,et al. Differential Equations , 1919, Nature.
[4] R. Bellman. The stability of solutions of linear differential equations , 1943 .
[5] J. Lasalle. Uniqueness Theorems and Successive Approximations , 1949 .
[6] R. Bellman. Stability theory of differential equations , 1953 .
[7] Tokui Satō. Sur l'équation intégrale non linéaire de Volterra , 1953 .
[8] I. Bihari. A generalization of a lemma of bellman and its application to uniqueness problems of differential equations , 1956 .
[9] N. G. Parke,et al. Ordinary Differential Equations. , 1958 .
[10] Vito Volterra,et al. Theory of Functionals and of Integral and Integro-Differential Equations , 2005 .
[11] C. E. Langenhop,et al. Bounds on the norm of a solution of a general differential equation. , 1960 .
[12] M. Lees. Energy inequalities for the solution of differential equations , 1960 .
[13] V. Lakshmikantham. Upper and lower bounds of the norm of solutions of differential equations , 1962 .
[14] B. Viswanatham. A generalisation of Bellman’s Lemma , 1963 .
[15] G. S. Jones. Fundamental inequalities for discrete and dis- continuous functional equations , 1964 .
[16] D. Willett. Nonlinear vector integral equations as contraction mappings , 1964 .
[17] D. Willett,et al. A linear generalization of Gronwall’s inequality , 1965 .
[18] D. Willett,et al. On the discrete analogues of some generalizations of Gronwall's inequality , 1965 .
[19] H. Antosiewicz,et al. Differential Equations: Stability, Oscillations, Time Lags , 1967 .
[20] F. T. Metcalf,et al. On Gronwall’s inequality , 1967 .
[21] E. Hille,et al. Lectures on ordinary differential equations , 1968 .
[22] J. Wong,et al. Bounds for solutions of nonlinear integrodifferential equations , 1968 .
[23] G. Sell,et al. The Gronwall inequality for modified Stieltjes integrals , 1968 .
[24] A. D. Ziebur. On the Gronwall-Bellman lemma , 1968 .
[25] J. Herod. A Gronwall inequality for linear Stieltjes integrals , 1969 .
[26] P. Beesack. Comparison theorems and integral inequalities for Volterra integral equations , 1969 .
[27] B. Helton. A product integral representation for a Gronwall inequality , 1969 .
[28] H. E. Gollwitzer. A NOTE ON A FUNCTIONAL INEQUALITY , 1969 .
[29] V. Lakshmikantham,et al. Differential and integral inequalities : theory and applications , 1969 .
[30] A. Ostrowski. On an integral inequality , 1970 .
[31] S. Deo,et al. On a system of integral inequalities , 1970 .
[32] M. L. Klasi,et al. The Gronwall inequality for weighted integrals , 1971 .
[33] G. Butler,et al. A generalization of a lemma of Bihari and applications to pointwise estimates for integral equations , 1971 .
[34] S. Deo,et al. A Note on Gronwall's Inequality , 1971 .
[35] Beatriz Margolis. An extension of Gronwall's inequality , 1971 .
[36] V. Bargmann. NOTE ON SOME INTEGRAL INEQUALITIES. , 1972 .
[37] H. Brezis. Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert , 1973 .
[38] B. G. Pachpatte,et al. A note on Gronwall-Bellman inequality , 1973 .
[39] S. Deo,et al. Some generalizations of Bellman-Bihari integral inequalities , 1973 .
[40] V. Lakshmikantham. A variation of constants formula and Bellman-Gronwall-Reid inequalities , 1973 .
[41] G. B. Pachpatte. An Integral Inequality Similar to Bellman-Bihari inequality , 1974 .
[42] G. Milovanović. ON SOME INTEGRAL INEQUALITIES , 1975 .
[43] B. G. Pachpatte. A note on integral inequalities of the Bellman-Bihari type , 1975 .
[44] B. G. Pachpatte,et al. On some generalizations of Bellman's Lemma , 1975 .
[45] J. Bustoz,et al. A note on gronwall transforms , 1976 .
[46] On some nonlinear generalizations of Gronwall’s inequality , 1976 .
[47] P. R. Beesack. On integral inequalities of Bihari type , 1976 .
[48] S. Deo,et al. A nonlinear generalization of Bihari’s inequality , 1976 .
[49] B. Helton. A special integral and a Gronwall inequality , 1976 .
[50] Chung-lie Wang. A short proof of a Greene theorem , 1978 .
[51] M. Ráb. Linear integral inequalities , 1979 .
[52] P. Das,et al. Some Stieltjes integral inequalities , 1980 .
[53] K. Reddy. Integral inequalities and applications , 1980, Bulletin of the Australian Mathematical Society.
[54] V. Raghavendra. A remark on an integral inequality , 1981, Bulletin of the Australian Mathematical Society.
[55] E. Yang. A GENERALIZATION OF BIHARI'S INEQUALITY AND ITS APPLICATIONS TO NONLINEAR VOLTERRA INTEGRAL EQUATIONS , 1982 .
[56] E. Yang. On asymptotic behaviour of certain integro-differential equations , 1984 .
[57] E. Yang. On the most general form of Bellman-type linear inequalities involving multiple-fold integral functionals , 1984 .
[58] F. Dannan. Integral Inequalities of Gronwall-Bellman-Bihari Type and Asymptotic Behavior of Certain Second Order Nonlinear Differential Equations , 1985 .
[59] Gheorghe Moroşanu,et al. Nonlinear Evolution Equations and Applications , 1988 .
[60] D. Clark. Generalization of an inequality of Gronwall-Reid , 1989 .
[61] K. Balachandran. ON A VOLTERRA INTEGRAL EQUATION WITH DEVIATING ARGUMENTS , 1990 .
[62] N. Rajabov. On a volterra integral equation , 2002 .
[63] M. Akkouchi. Some Integral Inequalities , 2003 .
[64] J. Pečarić,et al. On an integral inequality. , 2004 .