Global existence for second-order functional semilinear integrodifferential equations

Sotiris K. Ntouyas; Panagiotis Ch. Tsamatos

Mathematica Slovaca (2000)

  • Volume: 50, Issue: 1, page 95-109
  • ISSN: 0139-9918

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Ntouyas, Sotiris K., and Tsamatos, Panagiotis Ch.. "Global existence for second-order functional semilinear integrodifferential equations." Mathematica Slovaca 50.1 (2000): 95-109. <http://eudml.org/doc/32066>.

@article{Ntouyas2000,
author = {Ntouyas, Sotiris K., Tsamatos, Panagiotis Ch.},
journal = {Mathematica Slovaca},
keywords = {Leray-Schauder alternative; mild solution; a priori bound; global existence; second-order functional semilinear integrodifferential equations; Banach space; initial value problem},
language = {eng},
number = {1},
pages = {95-109},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Global existence for second-order functional semilinear integrodifferential equations},
url = {http://eudml.org/doc/32066},
volume = {50},
year = {2000},
}

TY - JOUR
AU - Ntouyas, Sotiris K.
AU - Tsamatos, Panagiotis Ch.
TI - Global existence for second-order functional semilinear integrodifferential equations
JO - Mathematica Slovaca
PY - 2000
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 50
IS - 1
SP - 95
EP - 109
LA - eng
KW - Leray-Schauder alternative; mild solution; a priori bound; global existence; second-order functional semilinear integrodifferential equations; Banach space; initial value problem
UR - http://eudml.org/doc/32066
ER -

References

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  2. DUGUNDJI J.-GRANAS A., Fixed Point Theory, Vol. I. Monographic Matematyczne, PNW, Warsawa, 1982. (1982) Zbl0483.47038
  3. LEE J.-O'REGAN D., Topological transversality, Applications to initial value problems, Ann. Polon. Math. 48 (1988), 247-252. (1988) Zbl0674.34006MR0978675
  4. LEE J.-O'REGAN D., Existence results for differential delay equations-I, J. Differential Equations 102 (1993), 342-359. (1993) Zbl0782.34070MR1216733
  5. NTOUYAS S.-SFICAS Y.-TSAMATOS P., Existence results for initial value problems for neutral functional differential equations, J. Differential Equations 114 (1994), 527-537. (1994) Zbl0810.34061MR1303038
  6. NTOUYAS S.-TSAMATOS P., Initial and boundary value problems for partial functional differential equations, J. Appl. Math. Stochastic Anal. 10 (1997), 157-168. (1997) Zbl0885.35140MR1453468
  7. NTOUYAS S.-TSAMATOS P., Global existence for second order functional semilinear equations, Period. Math. Hungar. 31 (1995), 139-144. (1995) Zbl0855.34076MR1610274
  8. TRAVIS C.-WEBB G., Cosine families and abstract nonlinear second order differential equations, Acta Math. Hungar. 32 (1978), 75-96. (1978) Zbl0388.34039MR0499581
  9. TRAVIS C.-WEBB G., Existence and stability for partial functional differential equations, Trans. Amer. Math. Soc. 200 (1974), 395-418. (1974) Zbl0299.35085MR0382808
  10. YORKE J., A continuous differential equation in Hilbert space without existence, Funkcial. Ekvac. 13 (1970), 19-21. (1970) Zbl0248.34061MR0264196

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