
Previous Article
On Pogorelov estimates for MongeAmpère type equations
 DCDS Home
 This Issue

Next Article
On least energy solutions to a semilinear elliptic equation in a strip
From Frank Ramsey to René Thom: A classical problem in the calculus of variations leading to an implicit differential equation
1.  Canada Research Chair in Mathematical Economics, Mathematics Department, University of British Columbia, 1984 Mathematics Road, Vancouver, BC, V6T 1Z2, Canada 
[1] 
Renato Iturriaga, Héctor SánchezMorgado. Limit of the infinite horizon discounted HamiltonJacobi equation. Discrete and Continuous Dynamical Systems  B, 2011, 15 (3) : 623635. doi: 10.3934/dcdsb.2011.15.623 
[2] 
Agnieszka B. Malinowska, Delfim F. M. Torres. EulerLagrange equations for composition functionals in calculus of variations on time scales. Discrete and Continuous Dynamical Systems, 2011, 29 (2) : 577593. doi: 10.3934/dcds.2011.29.577 
[3] 
Senda Ounaies, JeanMarc Bonnisseau, Souhail Chebbi, Halil Mete Soner. Merton problem in an infinite horizon and a discrete time with frictions. Journal of Industrial and Management Optimization, 2016, 12 (4) : 13231331. doi: 10.3934/jimo.2016.12.1323 
[4] 
Tao Pang, Azmat Hussain. An infinite time horizon portfolio optimization model with delays. Mathematical Control and Related Fields, 2016, 6 (4) : 629651. doi: 10.3934/mcrf.2016018 
[5] 
Sebastián Ferrer, Martin Lara. Families of canonical transformations by HamiltonJacobiPoincaré equation. Application to rotational and orbital motion. Journal of Geometric Mechanics, 2010, 2 (3) : 223241. doi: 10.3934/jgm.2010.2.223 
[6] 
Manuel de León, Juan Carlos Marrero, David Martín de Diego. Linear almost Poisson structures and HamiltonJacobi equation. Applications to nonholonomic mechanics. Journal of Geometric Mechanics, 2010, 2 (2) : 159198. doi: 10.3934/jgm.2010.2.159 
[7] 
Bernard Dacorogna, Giovanni Pisante, Ana Margarida Ribeiro. On non quasiconvex problems of the calculus of variations. Discrete and Continuous Dynamical Systems, 2005, 13 (4) : 961983. doi: 10.3934/dcds.2005.13.961 
[8] 
Daniel Faraco, Jan Kristensen. Compactness versus regularity in the calculus of variations. Discrete and Continuous Dynamical Systems  B, 2012, 17 (2) : 473485. doi: 10.3934/dcdsb.2012.17.473 
[9] 
Monika Dryl, Delfim F. M. Torres. Necessary optimality conditions for infinite horizon variational problems on time scales. Numerical Algebra, Control and Optimization, 2013, 3 (1) : 145160. doi: 10.3934/naco.2013.3.145 
[10] 
Felix Sadyrbaev. Nonlinear boundary value problems of the calculus of variations. Conference Publications, 2003, 2003 (Special) : 760770. doi: 10.3934/proc.2003.2003.760 
[11] 
Xiaoshan Chen, Xun Li, Fahuai Yi. Optimal stopping investment with nonsmooth utility over an infinite time horizon. Journal of Industrial and Management Optimization, 2019, 15 (1) : 8196. doi: 10.3934/jimo.2018033 
[12] 
Vladimir Gaitsgory, Alex Parkinson, Ilya Shvartsman. Linear programming based optimality conditions and approximate solution of a deterministic infinite horizon discounted optimal control problem in discrete time. Discrete and Continuous Dynamical Systems  B, 2019, 24 (4) : 17431767. doi: 10.3934/dcdsb.2018235 
[13] 
Vladimir Gaitsgory, Alex Parkinson, Ilya Shvartsman. Linear programming formulations of deterministic infinite horizon optimal control problems in discrete time. Discrete and Continuous Dynamical Systems  B, 2017, 22 (10) : 38213838. doi: 10.3934/dcdsb.2017192 
[14] 
Delfim F. M. Torres. Proper extensions of Noether's symmetry theorem for nonsmooth extremals of the calculus of variations. Communications on Pure and Applied Analysis, 2004, 3 (3) : 491500. doi: 10.3934/cpaa.2004.3.491 
[15] 
Nuno R. O. Bastos, Rui A. C. Ferreira, Delfim F. M. Torres. Necessary optimality conditions for fractional difference problems of the calculus of variations. Discrete and Continuous Dynamical Systems, 2011, 29 (2) : 417437. doi: 10.3934/dcds.2011.29.417 
[16] 
Jacky Cresson, Fernando Jiménez, Sina OberBlöbaum. Continuous and discrete Noether's fractional conserved quantities for restricted calculus of variations. Journal of Geometric Mechanics, 2022, 14 (1) : 5789. doi: 10.3934/jgm.2021012 
[17] 
Yves Achdou, ManhKhang Dao, Olivier Ley, Nicoletta Tchou. A class of infinite horizon mean field games on networks. Networks and Heterogeneous Media, 2019, 14 (3) : 537566. doi: 10.3934/nhm.2019021 
[18] 
Nicolas Forcadel, Mamdouh Zaydan. A comparison principle for HamiltonJacobi equation with moving in time boundary. Evolution Equations and Control Theory, 2019, 8 (3) : 543565. doi: 10.3934/eect.2019026 
[19] 
Guy V. Norton, Robert D. Purrington. The Westervelt equation with a causal propagation operator coupled to the bioheat equation.. Evolution Equations and Control Theory, 2016, 5 (3) : 449461. doi: 10.3934/eect.2016013 
[20] 
Nikos Katzourakis. Nonuniqueness in vectorvalued calculus of variations in $L^\infty$ and some Linear elliptic systems. Communications on Pure and Applied Analysis, 2015, 14 (1) : 313327. doi: 10.3934/cpaa.2015.14.313 
2021 Impact Factor: 1.588
Tools
Metrics
Other articles
by authors
[Back to Top]