Publication Cover
Applicable Analysis
An International Journal
Volume 1, 1971 - Issue 1
37
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Original Articles

On nonlinear differential equations in Hilbert spaces

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Pages 31-41 | Published online: 04 Mar 2011

References

  • Medeiros , L. A. 1969 . On nonlinear differential equations in Hilbert spaces . Amer. Math. Monthly , 76 : 1024 – 1027 .
  • Browder , F. E. 1964 . Non-linear equations of evolution . Ann. Math , 80 : 485 – 523 .
  • Perron , O. 1928 . Eine hinreichende Bedingung fur die Unitat der Losung von Differential- gleichungen erster Ordnung . Math Z , 28 : 216 – 219 .
  • Nagumo , M. 1926 . Eine hinreichende Bedingung für die Unität der Lösung von Differential gleichungen erster Ordnung . Japan J. Math , 3 : 107 – 112 .
  • Diaz , J. B. and Walter , W. L. 1960 . On uniqueness theorems for ordinary differential equations and for partial differential equations of hyperbolic type . Trans. Am. Math. Soc , 96 : 90 – 100 .
  • Diaz , J. B. 1960 . On existence, uniqueness, and numerical evaluation of solutions of ordinary and hyperbolic differential equations . Annalidi Matematica IV , 52 : 163 – 181 .
  • Aziz , A. K. and Diaz , J. B. 1963 . On a mean value theorem of the differential calculus of vector-valued functions, and uniqueness theorems for ordinary differential equations in a linear-normed space . Contrib. Diff. Eqs , 1 : 251 – 269 .
  • Diaz , J. B. A comparison of two uniqueness theorems for the ordinary differential equation . Proceedings of the Third Symposium on Inequalities . September 1-10 1969 . Los Angeles : University of California . to appear in the

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