Existence and Uniqueness of Solutions of Nonlocal Problems for Hyperbolic Equation uxt=F(x, t, u, ux)

Journal of Applied Mathematics and Stochastic Analysis

Volumn 3, Issue 3, 1990, Pages 163-168

  Byszewski, L ^a  

^a FLORIDA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Banach theorem; existence and uniqueness; integral equations; Nonlinear hyperbolic problems; nonlocal conditions

Indexed keywords

EID: 0039979220     PISSN: 10489533     EISSN: 16872177     Source Type: Journal    
DOI: 10.1155/S1048953390000156     Document Type: Article

References (5)

1. L. Byszewski, Strong maximum and minimum principles for parabolic problems with nonlocal inequalities, Zeitschrift für Angewandte Mathematik und Mechanik 70.3 (1990), 202-205.
2. J. Chabrowski, On non-local problems for parabolic equations, Nagoya Math. J. 93 (1984), 109-131.
3. H. Chi, H. Poorkarimi, J. Wiener, S. M. Shah, On the exponential growth of solutions to nonlinear hyperbolic equations, International Journal of Mathematics and Mathematical Sciences 12 (1989), 539-546.
4. M. Krzyzanski, Partial differential equations of second order, Vol. II, Polish Scientific Publishers, Warsaw, 1971.
5. G.S. Ladde, V. Lakshmikantham, A.S. Vatsala, Monotone iterative techniques for nonlinear differential equations, Pitman Advanced Publishing Program, Boston, London, Melbourne, 1985.