On a nonlinear integral inequality arising in the theory of differential equations

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  • B. G. Pachpatte Aurangabad, Maharashtra, India
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References

V. Barbu, Differential Equations (in Romanian), Ed. Junimea, Iaşi, 1985.

H. Brézis, Opérateure maximaux monotones et sémigroupes de contractions dans les éspaces de Hilbert, North-Holand, Amsterdam, 1973.

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S. S. Dragomir, The Gronwall Type Lemmas and Applicaitons, Monografii Matematice, Univ. Timişoara 29, 1987.

A. Haraux, Nonlinear Evolution equations: Global behavior of solutions, Lecture Notes in Mathematics, No. 841, Springer-Verlag, Berlin, New York, 1981.

S. N. Olekhnik, Boundedness and unboundedness of solutions of some systems of ordinary differential equations, Vestnik Moscov Univ. Mat. 27 (1972), pp. 34-44.

L. Ou-Iang, The boundedness of solutions of linear differential equations y′′+A(t)y=0, Shuxue Jinzhan 3(1957), pp. 409-415.

B. G. Pachpatte, On some integrodifferential inequalities of the Wendorff type, J. Math. Anal. Appl. 73 (1980), pp. 491-500, https://doi.org/10.1016/0022-247x(80)90293-0

B. G. Pachpatte, Discrete inequalities in two variables and their applications, Radovi Matematicki 6 (1990), pp. 235-247.

M. Tsutsumi and I. Fikunda, On solutions of the derivative nonlinear Schrödinger equation. Existence and uniqueness theorem, Funkcialaj Ekvacioj, 23 (1980), pp. 259-277.

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Published

1996-08-01

How to Cite

Pachpatte, B. G. (1996). On a nonlinear integral inequality arising in the theory of differential equations. Rev. Anal. Numér. Théor. Approx., 25(1), 173–183. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1996-vol25-nos1-2-art17

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