The impact of unbounded swings of the forcing term on the asymptotic behavior of functional equations

Bhagat Singh

Czechoslovak Mathematical Journal (2000)

  • Volume: 50, Issue: 1, page 15-24
  • ISSN: 0011-4642

Abstract

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Necessary and sufficient conditions have been found to force all solutions of the equation ( r ( t ) y ' ( t ) ) ( n - 1 ) + a ( t ) h ( y ( g ( t ) ) ) = f ( t ) , to behave in peculiar ways. These results are then extended to the elliptic equation | x | p - 1 Δ y ( | x | ) + a ( | x | ) h ( y ( g ( | x | ) ) ) = f ( | x | ) where Δ is the Laplace operator and p ≥ 3 is an integer.

How to cite

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Singh, Bhagat. "The impact of unbounded swings of the forcing term on the asymptotic behavior of functional equations." Czechoslovak Mathematical Journal 50.1 (2000): 15-24. <http://eudml.org/doc/30536>.

@article{Singh2000,
abstract = {Necessary and sufficient conditions have been found to force all solutions of the equation \[ (r(t)y^\{\prime \}(t))^\{(n-1)\} + a(t)h(y(g(t))) = f(t), \] to behave in peculiar ways. These results are then extended to the elliptic equation \[ |x|^\{p-1\} \Delta y(|x|) + a(|x|)h(y(g(|x|))) = f(|x|) \] where $ \Delta $ is the Laplace operator and $p \ge 3$ is an integer.},
author = {Singh, Bhagat},
journal = {Czechoslovak Mathematical Journal},
keywords = {oscillatory; nonoscillatory; exterior domain; elliptic; functional equation; oscillatory; nonoscillatory; exterior domain; elliptic; functional equation},
language = {eng},
number = {1},
pages = {15-24},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The impact of unbounded swings of the forcing term on the asymptotic behavior of functional equations},
url = {http://eudml.org/doc/30536},
volume = {50},
year = {2000},
}

TY - JOUR
AU - Singh, Bhagat
TI - The impact of unbounded swings of the forcing term on the asymptotic behavior of functional equations
JO - Czechoslovak Mathematical Journal
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 50
IS - 1
SP - 15
EP - 24
AB - Necessary and sufficient conditions have been found to force all solutions of the equation \[ (r(t)y^{\prime }(t))^{(n-1)} + a(t)h(y(g(t))) = f(t), \] to behave in peculiar ways. These results are then extended to the elliptic equation \[ |x|^{p-1} \Delta y(|x|) + a(|x|)h(y(g(|x|))) = f(|x|) \] where $ \Delta $ is the Laplace operator and $p \ge 3$ is an integer.
LA - eng
KW - oscillatory; nonoscillatory; exterior domain; elliptic; functional equation; oscillatory; nonoscillatory; exterior domain; elliptic; functional equation
UR - http://eudml.org/doc/30536
ER -

References

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