Existence, uniqueness, and approximation of solutions to some nonlinear diffusion problems

Journal of Mathematical Analysis and Applications

Volumn 210, Issue 1, 1997, Pages 231-240

  Nieto, Juan J ^b   Okrasinski, W ^a  

^a UNIVERSITY OF WROC AW   (Poland)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; NONLINEAR EQUATIONS; PROBLEM SOLVING; THEOREM PROVING;

NONLINEAR DIFFUSION PROBLEMS; NONLINEAR ORDINARY DIFFERENTIAL EQUATION;

DIFFERENTIAL EQUATIONS;

EID: 0031153611     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5394     Document Type: Article

References (10)

1. Amann H. Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces. SIAM Rev. 18:1976;620-709.
2. Goncerzewicz J., Marcinkowska H., Okrasinski W., Tabisz K. On the percolation of water from a cylindrical reservoir into the surrounding soil. Zastos. Mat. 16:1978;249-261.
3. King J. R. Approximate solutions to a nonlinear diffusion equation. J. Eng. Math. 22:1988;53-72.
4. Ladde G. S., Lakshmikantham V., Vatsala A. S. Monotone Iterative Techniques for Nonlinear Differential Equations. 1985;Pitman, Boston.
5. J. J. Nieto, Monotone iterates and stability for first order ordinary differential equations, Advances in Nonlinear Dynamics, Gordon and Breach.
6. Okrasinski W. Integral equations methods in the theory of the water percolation. Mathematical Methods in Fluid Mechanics. Methoden Verfahren Math. Phys. 24:1982;Lang, Frankfurt. p. 167-176.
7. Okrasinski W. On a nonlinear ordinary differential equation. Ann. Polon. Math. 49:1989;109-119.
8. Okrasinski W. On approximate solutions to some nonlinear diffusion problems. Z. Angew. Math. Phys. 44:1993;722-731.
9. A. Rybarsky, The integral equation describing propagation of the ground water tongue.
10. Samarskii A. A., Galaktionov V. A., Kurdyumov S. P., Mikhailov A. P. Blow-up in Quasilinear Parabolic Equations. 1995;de Gruyter, Berlin.