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A+ CATEGORY SCIENTIFIC UNIT

Convergence results for unbounded solutions of first order non-linear differential-functional equations

Volume 64 / 1996

Henryk Leszczyński Annales Polonici Mathematici 64 (1996), 1-16 DOI: 10.4064/ap-64-1-1-16

Abstract

We consider the Cauchy problem in an unbounded region for equations of the type either 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.

Authors

  • Henryk Leszczyński

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