On Some Discrete Variational Problems

By Alexander Pankov, N. Zakharchenko. 2001

78 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/47fc8941324e68d79c1f0b121d1cbd2087accddf

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Jianshe Yu
2. Zhiming Guo
3. Xianhua Tang
4. Minbo Yang
5. Alexander Pankov
6. Wenxiong CHEN *
7. Yanheng Ding
8. Congming LI #

In Computational Theory and Mathematics

1. Jianshe Yu
2. Minbo Yang
3. Zhiming Guo
4. Alexander Pankov
5. Wenxiong CHEN *
6. Yanheng Ding
7. Xianhua Tang
8. X. Tang

In Mathematical Physics

1. Jianshe Yu
2. Guoping Zhang
3. Minbo Yang
4. Zhiming Guo
5. Alexander Pankov
6. Wenxiong CHEN *
7. Yanheng Ding
8. Xianhua Tang

Citations in the corpus

• Subharmonic Solutions with Prescribed Minimal Period of a Discrete Forced Pendulum Equation (2004, background): “However, there are scarce techniques for studying the existence of periodic solutions of discrete systems, results in this field are very rare (see [1,10,11, 21 ]).”
• STANDING WAVES OF THE DISCRETE NONLINEAR SCHR ¨ ODINGER EQUATIONS WITH GROWING POTENTIALS (2008, background): “Recently Pankov [12, 13, 15 ] systematically studied both periodic and decaying solutions.”
• Gap solitons in periodic discrete nonlinear Schrödinger equations (2005, background): “Note that in the case of the periodic DNLS, and even for more general equations, with ω below or above the spectrum (depending on σ ), such solutions are shown to exist in [20].”
• Solutions for Discrete Periodic Schrödinger Equations with Spectrum 0 (2010, background): “If ω is below or above the spectrum of the difference operator −� + en, solutions are shown to exist in [ 20 ].”