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Solution to a stochastic pursuit model using moment equations
On homoclinic solutions for a second order difference equation with p-Laplacian
Institute of Mathematics, Lodz University of Technology, Wolczanska 215, 90-924 Lodz, Poland |
| $-Δ ≤ft( a(k)φ _{p}(Δ u(k-1))) +b(k)φ_{p}(u(k))=λ f(k, u(k)), \;\;k∈\mathbb{Z}, $ |
References:
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G. Bonanno and G. Molica Bisci, Infinitely many solutions for a boundary value problem with discontinuous nonlinearities,
Bound. Value Probl., 2009 (2009), Art. ID 670675, 20 pp. |
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A. Iannizzotto and S. Tersian,
Multiple homoclinic solutions for the discrete p-Laplacian via critical point theory, J. Math. Anal. Appl., 403 (2013), 173-182.
doi: 10.1016/j.jmaa.2013.02.011. |
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L. Kong,
Homoclinic solutions for a second order difference equation with p-Laplacian, Appl. Math. Comput., 247 (2014), 1103-1121.
doi: 10.1016/j.amc.2014.09.069. |
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L. Kong,
Homoclinic solutions for a higher order difference equation with p-Laplacian, Indag. Math., 27 (2016), 124-146.
doi: 10.1016/j.indag.2015.08.007. |
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S. Liu,
On superlinear problems without the Ambrosetti and Rabinowitz condition, Nonlinear Anal., 73 (2010), 788-795.
doi: 10.1016/j.na.2010.04.016. |
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B. Ricceri,
A general variational principle and some of its applications, J. Comput. Appl. Math., 113 (2000), 401-410.
doi: 10.1016/S0377-0427(99)00269-1. |
| [7] |
R. Stegliński,,
On sequences of large homoclinic solutions for a difference equations on the integers, Adv. Difference Equ., 2016 (2016), 11pp.
doi: 10.1186/s13662-017-1344-6. |
| [8] |
R. Stegliński,
On sequences of large homoclinic solutions for a difference equations on the integers involving oscillatory nonlinearities, Electron. J. Qual. Theory Differ. Equ., 35 (2016), 1-11.
|
| [9] |
G. Sun and A. Mai, Infinitely many homoclinic solutions for second order nonlinear difference equations with p-Laplacian The Scientific World Journal 2014 (2014), Article ID 276372, 6 pages.
doi: 10.1155/2014/276372. |
show all references
References:
| [1] |
G. Bonanno and G. Molica Bisci, Infinitely many solutions for a boundary value problem with discontinuous nonlinearities,
Bound. Value Probl., 2009 (2009), Art. ID 670675, 20 pp. |
| [2] |
A. Iannizzotto and S. Tersian,
Multiple homoclinic solutions for the discrete p-Laplacian via critical point theory, J. Math. Anal. Appl., 403 (2013), 173-182.
doi: 10.1016/j.jmaa.2013.02.011. |
| [3] |
L. Kong,
Homoclinic solutions for a second order difference equation with p-Laplacian, Appl. Math. Comput., 247 (2014), 1103-1121.
doi: 10.1016/j.amc.2014.09.069. |
| [4] |
L. Kong,
Homoclinic solutions for a higher order difference equation with p-Laplacian, Indag. Math., 27 (2016), 124-146.
doi: 10.1016/j.indag.2015.08.007. |
| [5] |
S. Liu,
On superlinear problems without the Ambrosetti and Rabinowitz condition, Nonlinear Anal., 73 (2010), 788-795.
doi: 10.1016/j.na.2010.04.016. |
| [6] |
B. Ricceri,
A general variational principle and some of its applications, J. Comput. Appl. Math., 113 (2000), 401-410.
doi: 10.1016/S0377-0427(99)00269-1. |
| [7] |
R. Stegliński,,
On sequences of large homoclinic solutions for a difference equations on the integers, Adv. Difference Equ., 2016 (2016), 11pp.
doi: 10.1186/s13662-017-1344-6. |
| [8] |
R. Stegliński,
On sequences of large homoclinic solutions for a difference equations on the integers involving oscillatory nonlinearities, Electron. J. Qual. Theory Differ. Equ., 35 (2016), 1-11.
|
| [9] |
G. Sun and A. Mai, Infinitely many homoclinic solutions for second order nonlinear difference equations with p-Laplacian The Scientific World Journal 2014 (2014), Article ID 276372, 6 pages.
doi: 10.1155/2014/276372. |
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