### Nonlinear vector Duffing inclusions with no growth restriction on the orientor field

DOI: http://dx.doi.org/10.12775/TMNA.2019.041

#### Abstract

#### Keywords

#### References

J. Francu̇, Monotone operators. A survey directed to applications to differential equations, Appl. Math. 35 (1990), 257–301.

M. Galewski, On the Dirichlet problem for a Duffing type equation, Electron. J. Qual. Theory Differ. Equ. 2011 (2011), no. 15, 1–12.

L. Gasiński and N.S. Papageorgiou, Nonlinear Analysis, Ser. Math. Anal. Appl., vol. 9, Chapman and Hall/CRC Press, Boca Raton, Florida, 2006.

L. Gasiński and N.S. Papageorgiou, Exercises in Analysis, Part 1, Problem Books in Mathematics, Springer, Cham, 2014.

L. Gasiński and N.S. Papageorgiou, Exercises in Analysis, Part 2, Problem Books in Mathematics, Springer, Cham, 2016.

P. Hartman, On boundary value problems for systems of ordinary nonlinear second order differential equations, Trans. Amer. Math. Soc. 96 (1960), 493–509.

P. Hartman, Ordinary Differential Equations, Wiley, New York, 1964.

S. Hu and N.S. Papageorgiou, Handbook of Multivalued Analysis. Vol. I. Theory, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1997.

S. Hu and N.S. Papageorgiou, Handbook of Multivalued Analysis. Vol. II. Applications, Kluwer Academic Publishers, Dordrecht, The Netherlands, 2000.

P. Kalita and P.M. Kowalski, On multivalued Duffing equation, J. Math. Anal. Appl. 462 (2018), 1130–1147.

P.M. Kowalski, Well-posed Dirichlet problems pertaining to the Duffing equation, Electron. J. Qual. Theory Differ. Equ. 2014 (2014), no. 59, 1–15.

R. Manásevich and J. Mawhin, Boundary value problems for nonlinear perturbations of vector p-Laplacian-like operators, J. Korean Math. Soc. 37 (2000), 665–685.

N.S. Papageorgiou, C. Vetro and F. Vetro, Extremal solutions and strong relaxation for nonlinear multivalued systems with maximal monotone terms, J. Math. Anal. Appl. 461 (2018), 401–421.

N.S. Papageorgiou, C. Vetro and F. Vetro, Nonlinear multivalued Duffing systems, J. Math. Anal. Appl. 468 (2018), 376–390.

P. Tomiczek, Remark on Duffing equation with Dirichlet boundary condition, Electron. J. Differential Equations 2007 (2007), no. 81, 1–3.

### Refbacks

- There are currently no refbacks.