Convergence results for unbounded solutions of first order non-linear differential-functional equations
Annales Polonici Mathematici, Tome 64 (1996) no. 1, pp. 1-16
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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.
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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author = {Henryk Leszczy\'nski},
title = {Convergence results for unbounded solutions of first order non-linear differential-functional equations},
journal = {Annales Polonici Mathematici},
pages = {1--16},
year = {1996},
volume = {64},
number = {1},
doi = {10.4064/ap-64-1-1-16},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-64-1-1-16/}
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