Classical solutions of hyperbolic partial differential equations with implicit mixed derivative

Salvatore A. Marano

Annales Polonici Mathematici (1992)

  • Volume: 56, Issue: 2, page 163-178
  • ISSN: 0066-2216

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Salvatore A. Marano. "Classical solutions of hyperbolic partial differential equations with implicit mixed derivative." Annales Polonici Mathematici 56.2 (1992): 163-178. <http://eudml.org/doc/262512>.

@article{SalvatoreA1992,
abstract = {},
author = {Salvatore A. Marano},
journal = {Annales Polonici Mathematici},
keywords = {hyperbolic equation; implicit mixed derivative; classical solution},
language = {eng},
number = {2},
pages = {163-178},
title = {Classical solutions of hyperbolic partial differential equations with implicit mixed derivative},
url = {http://eudml.org/doc/262512},
volume = {56},
year = {1992},
}

TY - JOUR
AU - Salvatore A. Marano
TI - Classical solutions of hyperbolic partial differential equations with implicit mixed derivative
JO - Annales Polonici Mathematici
PY - 1992
VL - 56
IS - 2
SP - 163
EP - 178
AB -
LA - eng
KW - hyperbolic equation; implicit mixed derivative; classical solution
UR - http://eudml.org/doc/262512
ER -

References

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  1. [1] J. Banaś and K. Goebel, Measures of Noncompactness in Banach Spaces, Lecture Notes in Pure and Appl. Math. 60, Marcel Dekker, 1980. Zbl0441.47056
  2. [2] J. Bryszewski, L. Górniewicz and T. Pruszko, An application of the topological degree theory to the study of the Darboux problem for hyperbolic equations, J. Math. Anal. Appl. 76 (1980), 107-115. Zbl0452.35074
  3. [3] G. Emmanuele and B. Ricceri, Sull'esistenza delle soluzioni delle equazioni differenziali ordinarie in forma implicita negli spazi di Banach, Ann. Mat. Pura Appl. (4) 129 (1981), 367-382. Zbl0499.34039
  4. [4] P. Hartman and A. Wintner, On hyperbolic partial differential equations, Amer. J. Math. 74 (1952), 834-864. Zbl0048.33302
  5. [5] B. Rzepecki, On the existence of solutions of the Darboux problem for the hyperbolic partial differential equations in Banach spaces, Rend. Sem. Mat. Univ. Padova 76 (1986), 201-206. Zbl0656.35087
  6. [6] G. Vidossich, Hyperbolic equations as ordinary differential equations in Banach space, preprint S.I.S.S.A. Zbl0789.35114

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