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Currently displaying 1 – 3 of 3

Order by Relevance | Title | Year of publication

Asymptotic behavior of solutions of partial difference inequalities

Wong, Patricia J. Y. — 1998

Proceedings of Equadiff 9

Unbounded solutions of BVP for second order ODE with $p$ -Laplacian on the half line

Yuji Liu; Patricia J. Y. Wong — 2013

Applications of Mathematics

By applying the Leggett-Williams fixed point theorem in a suitably constructed cone, we obtain the existence of at least three unbounded positive solutions for a boundary value problem on the half line. Our result improves and complements some of the work in the literature.

The oscillation of an $m$ th order perturbed nonlinear difference equation

Patricia J. Y. Wong; Ravi P. Agarwal — 1996

Archivum Mathematicum

We offer sufficient conditions for the oscillation of all solutions of the perturbed difference equation $| Δ^{m} {y (k) |}^{α - 1} Δ^{m} y (k) + Q (k, y (k - σ_{k}), Δ y (k - σ_{k}), \dots, Δ^{m - 2} y (k - σ_{k}))$ $= P (k, y (k - σ_{k}), Δ y (k - σ_{k}), \dots, Δ^{m - 1} y (k - σ_{k})), k \geq k_{0}$ where $α > 0 .$ Examples which dwell upon the importance of our results are also included.

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