Geodesic
Convergence results for unbounded solutions of first order non-linear differential-functional equations
Annales Polonici Mathematici, Tome 64 (1996) no. 1, pp. 1-16.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We consider the Cauchy problem in an unbounded region for equations of the type either $D_{t}z(t,x) = f(t,x,z(t,x),z_{(t,x)},D_{x}z(t,x))$ or $D_{t}z(t,x)= f(t,x,z(t,x),z,D_{x}z(t,x))$. We prove convergence of their difference analogues by means of recurrence inequalities in some wide classes of unbounded functions.
DOI : 10.4064/ap-64-1-1-16
Keywords: error estimates, recurrence inequalities, difference scheme

Henryk Leszczyński 1

1 
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Henryk Leszczyński. Convergence results for unbounded solutions of first order non-linear differential-functional equations. Annales Polonici Mathematici, Tome 64 (1996) no. 1, pp. 1-16. doi : 10.4064/ap-64-1-1-16. http://geodesic.mathdoc.fr/articles/10.4064/ap-64-1-1-16/

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