Approximations of solutions to some second order nonlinear differential equations

Nonlinear Analysis, Theory, Methods and Applications

Volumn 35, Issue 8, 1999, Pages 1061-1072

  Okrasinski W ^a   Vila, S ^b  

^a UNIVERSITY OF WROC AW   (Poland)

^b UNIVERSITY OF EXTREMADURA   (Spain)

Author keywords

Approximations of solutions; Nonlinear ordinary differential equation of second order

Indexed keywords

APPROXIMATION THEORY; DIFFERENTIAL EQUATIONS; DIFFUSION; PROBLEM SOLVING; THEOREM PROVING;

SIMILARITY SOLUTIONS;

NONLINEAR EQUATIONS;

EID: 0033102037     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(99)80001-7     Document Type: Article

References (9)

1. P.J. Bushell, On a class of Volterra and Fredholm non-linear integral equations, Math. Proc. Cambridge Philos. Soc. 79 (1976) 329-335.
2. J.R. King, Approximate solutions to a nonlinear diffusion equation, J. Engng Math. 22 (1988) 53-72.
3. J.J. Nieto, W. Okrasinski, Existence, uniqueness and approximations of solutions for a nonlinear diffusion equation, J. Math. Anal. Appl., 1998, in press.
4. W. Okrasinski, Integral equations methods in the theory of the water percolation, Mathematical Methods in Fluids Dynamics Oberwolfach, 1981; P. Lang, Methoden Verfahren Math. Phys. 24 (1982) Frankfurt, 167-176.
5. W. Okrasinski, On a nonlinear ordinary differential equation, Ann. Polon. Math. 49 (1989) 237-245.
6. D. O'Regan, Existence theory for the equations, (G′(y))′ = qf(t,y,y′) and (G′(y) - pH(y))′ = -p′H(y) + qf(t, y), J. Math. Anal. Appl. 183 (1994) 435-470.
7. S. Staňek, Qualitative behaviour of a class of second order nonlinear differential equation on the halfline, Ann. Polon. Math. 58 (1993) 65-83.
8. A. Rybarski, The integral equation describing propagation of the ground water tongue (1973), (preprint in Polish).
9. T.P. Witelski, Stopping and merging problems for the porous media equation, IMA J. Appl. Math. 54 (1995) 227-243.