Asymptotics of some classes of nonoscillatory solutions of second-order half-linear differential equations

Kusano Takasi; Vojislav Maric; Tomoyuki Tanigawa

doi:10.2298/bmat0328061t

Asymptotics of some classes of nonoscillatory solutions of second-order half-linear differential equations

Bulletin Classe des sciences mathematiques et natturalles ◽

10.2298/bmat0328061t ◽

2003 ◽

Vol 127 (28) ◽

pp. 61-74

Author(s):

Kusano Takasi ◽

Vojislav Maric ◽

Tomoyuki Tanigawa

Keyword(s):

Differential Equations ◽

Asymptotic Behaviour ◽

Second Order ◽

Linear Differential Equations ◽

Nonoscillatory Solutions ◽

Linear Differential ◽

Precise Asymptotic

The precise asymptotic behaviour at infinity of some classes of nonoscillatory solutions of the half-linear differential equations is determined.

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On asymptotic behaviour of central dispersions of linear differential equations of the second order

Časopis pro pěstování matematiky ◽

10.21136/cpm.1975.117874 ◽

1975 ◽

Vol 100 (3) ◽

pp. 255-260

Author(s):

Miroslav Bartušek

Keyword(s):

Differential Equations ◽

Asymptotic Behaviour ◽

Second Order ◽

Linear Differential Equations ◽

Linear Differential

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Precise asymptotic behavior of regularly varying solutions of second order half-linear differential equations

Electronic journal of qualitative theory of differential equations ◽

10.14232/ejqtde.2016.1.62 ◽

2016 ◽

pp. 1-24 ◽

Cited By ~ 1

Author(s):

Takaŝi Kusano ◽

Jelena Manojlović

Keyword(s):

Asymptotic Behavior ◽

Differential Equations ◽

Second Order ◽

Linear Differential Equations ◽

Regularly Varying ◽

Linear Differential ◽

Precise Asymptotic

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Asymptotics of Nonoscillatory Solutions of Some Second-Order Linear Differential Equations

Bulletin of the London Mathematical Society ◽

10.1112/blms/26.4.373 ◽

1994 ◽

Vol 26 (4) ◽

pp. 373-381 ◽

Cited By ~ 1

Author(s):

H. Howard ◽

V. Marić

Keyword(s):

Differential Equations ◽

Second Order ◽

Linear Differential Equations ◽

Nonoscillatory Solutions ◽

Order Linear ◽

Linear Differential

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Linear Differential Equations of the Second Order with a Large Parameter

Journal of the Society for Industrial and Applied Mathematics ◽

10.1137/0107024 ◽

1959 ◽

Vol 7 (3) ◽

pp. 306-310 ◽

Cited By ~ 3

Author(s):

F. W. J. Olver

Keyword(s):

Differential Equations ◽

Second Order ◽

Linear Differential Equations ◽

Large Parameter ◽

Linear Differential

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Oscillation of second order half-linear differential equations with deviating arguments of mixed type

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107228 ◽

2021 ◽

pp. 107228

Author(s):

B. Baculíková

Keyword(s):

Differential Equations ◽

Mixed Type ◽

Second Order ◽

Linear Differential Equations ◽

Deviating Arguments ◽

Linear Differential

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A computer program to find analytical solutions of second order linear differential equations

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620060420 ◽

1973 ◽

Vol 6 (4) ◽

pp. 603-606

Author(s):

S. J. Farlow

Keyword(s):

Differential Equations ◽

Computer Program ◽

Analytical Solutions ◽

Second Order ◽

Linear Differential Equations ◽

Order Linear ◽

Linear Differential

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Uniform Asymptotic Solutions of a Class of Second-Order Linear Differential Equations Having a Turning Point and a Regular Singularity, with an Application to Legendre Functions

SIAM Journal on Mathematical Analysis ◽

10.1137/0517033 ◽

1986 ◽

Vol 17 (2) ◽

pp. 422-450 ◽

Cited By ~ 19

Author(s):

W. G. C. Boyd ◽

T. M. Dunster

Keyword(s):

Differential Equations ◽

Turning Point ◽

Second Order ◽

Linear Differential Equations ◽

Asymptotic Solutions ◽

Legendre Functions ◽

Regular Singularity ◽

Order Linear ◽

Linear Differential

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Second order linear differential equations with almost periodic solutions

Acta Mathematica Sinica English Series ◽

10.1007/bf02594892 ◽

1991 ◽

Vol 7 (4) ◽

pp. 354-359 ◽

Cited By ~ 6

Author(s):

Xiao Tijun ◽

Liang Jin

Keyword(s):

Differential Equations ◽

Periodic Solutions ◽

Second Order ◽

Linear Differential Equations ◽

Almost Periodic Solutions ◽

Almost Periodic ◽

Order Linear ◽

Linear Differential

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Summability criteria for oscillation of second order linear differential equations

Annali di Matematica Pura ed Applicata (1923 -) ◽

10.1007/bf02415185 ◽

1968 ◽

Vol 79 (1) ◽

pp. 391-398 ◽

Cited By ~ 10

Author(s):

W. J. Coles ◽

D. Willett

Keyword(s):

Differential Equations ◽

Second Order ◽

Linear Differential Equations ◽

Order Linear ◽

Linear Differential

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L p-perturbations of second order linear differential equations

Mathematische Annalen ◽

10.1007/bf01351788 ◽

1975 ◽

Vol 215 (1) ◽

pp. 23-34 ◽

Cited By ~ 4

Author(s):

Man Kam Kwong

Keyword(s):

Differential Equations ◽

Second Order ◽

Linear Differential Equations ◽

Order Linear ◽

Linear Differential

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