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 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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

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