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- W2012162870 abstract "Abstract In this paper we study the boundedness of solutions for the second-order differential equation ( F p ( x ′ ) + ψ ( x ′ ) ) ′ + α F p ( x + ) − β F p ( x − ) = φ ( t , x ) , where F p ( s ) = | s | p − 2 s , p > 1 and α , β are strictly positive constants satisfying a resonant relation π α 1 / p sin π / p + π β 1 / p sin π / p = 2 π n with n being a positive integer, and φ ( t , x ) is a 2 π -periodic function in t . There exists a function W ( θ ) such that if it is of constant sign, under some increasing restrictions on ψ ( x ′ ) and φ ( t , x ) , by a small twist theorem we prove that all the solutions of the above equation are bounded in the sense of Lagrangian stability." @default.
- W2012162870 created "2016-06-24" @default.
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- W2012162870 date "2008-04-01" @default.
- W2012162870 modified "2023-09-30" @default.
- W2012162870 title "Boundedness of solutions for a class of second-order differential equations" @default.
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- W2012162870 doi "https://doi.org/10.1016/j.na.2007.01.026" @default.
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