Naz, R.; Mahomed, F. M.; Chaudhry, A. A partial Lagrangian method for dynamical systems. (English) Zbl 1354.37099 Nonlinear Dyn. 84, No. 3, 1783-1794 (2016). MSC: 37N40 91B62 70H33 PDF BibTeX XML Cite \textit{R. Naz} et al., Nonlinear Dyn. 84, No. 3, 1783--1794 (2016; Zbl 1354.37099) Full Text: DOI
Grüne, Lars; Semmler, Willi; Stieler, Marleen Using nonlinear model predictive control for dynamic decision problems in economics. (English) Zbl 1401.93094 J. Econ. Dyn. Control 60, 112-133 (2015). MSC: 93B40 91B55 93C10 PDF BibTeX XML Cite \textit{L. Grüne} et al., J. Econ. Dyn. Control 60, 112--133 (2015; Zbl 1401.93094) Full Text: DOI
Gaitsgory, Vladimir; Grüne, Lars; Thatcher, Neil Stabilization with discounted optimal control. (English) Zbl 1327.93324 Syst. Control Lett. 82, 91-98 (2015). MSC: 93D20 93B17 93C10 49N99 PDF BibTeX XML Cite \textit{V. Gaitsgory} et al., Syst. Control Lett. 82, 91--98 (2015; Zbl 1327.93324) Full Text: DOI
Kiseleva, Tatiana; Wagener, Florian Bifurcations of optimal vector fields. (English) Zbl 1371.37100 Math. Oper. Res. 40, No. 1, 24-55 (2015). MSC: 37G10 37N40 PDF BibTeX XML Cite \textit{T. Kiseleva} and \textit{F. Wagener}, Math. Oper. Res. 40, No. 1, 24--55 (2015; Zbl 1371.37100) Full Text: DOI
Brock, William; Xepapadeas, Anastasios Diffusion-induced instability and pattern formation in infinite horizon recursive optimal control. (English) Zbl 1181.49025 J. Econ. Dyn. Control 32, No. 9, 2745-2787 (2008). MSC: 49K20 49N90 91B76 92D40 PDF BibTeX XML Cite \textit{W. Brock} and \textit{A. Xepapadeas}, J. Econ. Dyn. Control 32, No. 9, 2745--2787 (2008; Zbl 1181.49025) Full Text: DOI
Martínez-García, María Pilar The general instability of balanced paths in endogenous growth models: The role of transversality conditions. (English) Zbl 1029.91042 J. Econ. Dyn. Control 27, No. 4, 599-618 (2003). MSC: 91B62 PDF BibTeX XML Cite \textit{M. P. Martínez-García}, J. Econ. Dyn. Control 27, No. 4, 599--618 (2003; Zbl 1029.91042) Full Text: DOI
Martínez-García, María Pilar Local stability in endogenous growth models. (English) Zbl 1070.91502 Optim. Control Appl. Methods 22, No. 5-6, 281-300 (2001). MSC: 91B24 49N90 91A40 PDF BibTeX XML Cite \textit{M. P. Martínez-García}, Optim. Control Appl. Methods 22, No. 5--6, 281--300 (2001; Zbl 1070.91502) Full Text: DOI
Mitra, Tapan; Nishimura, Kazuo Discounting and long-run behavior: Global bifurcation analysis of a family of dynamical systems. (English) Zbl 0985.91029 J. Econ. Theory 96, No. 1-2, 256-293 (2001). Reviewer: Victor Sharapov (Volgograd) MSC: 91B28 37N40 PDF BibTeX XML Cite \textit{T. Mitra} and \textit{K. Nishimura}, J. Econ. Theory 96, No. 1--2, 256--293 (2001; Zbl 0985.91029) Full Text: DOI
Marena, M.; Montrucchio, L. Neighborhood turnpike theorem for continuous-time optimization models. (English) Zbl 0956.90060 J. Optimization Theory Appl. 101, No. 3, 651-676 (1999). MSC: 90C39 49J15 PDF BibTeX XML Cite \textit{M. Marena} and \textit{L. Montrucchio}, J. Optim. Theory Appl. 101, No. 3, 651--676 (1999; Zbl 0956.90060) Full Text: DOI
Jafarey, Saqib; Park, Hyun The dynamics of optimal wealth distributions with recursive utility. (English) Zbl 0912.90052 Econ. Lett. 61, No. 2, 149-158 (1998). MSC: 91B62 PDF BibTeX XML Cite \textit{S. Jafarey} and \textit{H. Park}, Econ. Lett. 61, No. 2, 149--158 (1998; Zbl 0912.90052) Full Text: DOI
Sieveking, M.; Semmler, W. The present value of resources with large discount rates. (English) Zbl 0881.49002 Appl. Math. Optimization 35, No. 3, 283-309 (1997). Reviewer: Sebastian Aniţa (Iaşi) MSC: 49J15 92D25 34C05 PDF BibTeX XML Cite \textit{M. Sieveking} and \textit{W. Semmler}, Appl. Math. Optim. 35, No. 3, 283--309 (1997; Zbl 0881.49002) Full Text: DOI
Venditti, A. Endogenous cycles with small discounting in multisector optimal growth models: Continuous-time case. (English) Zbl 0842.90017 J. Optimization Theory Appl. 88, No. 2, 453-474 (1996). MSC: 91B62 PDF BibTeX XML Cite \textit{A. Venditti}, J. Optim. Theory Appl. 88, No. 2, 453--474 (1996; Zbl 0842.90017) Full Text: DOI
Montrucchio, Luigi A turnpike theorem for continuous-time optimal-control models. (English) Zbl 0877.90020 J. Econ. Dyn. Control 19, No. 3, 599-619 (1995). MSC: 91B62 PDF BibTeX XML Cite \textit{L. Montrucchio}, J. Econ. Dyn. Control 19, No. 3, 599--619 (1995; Zbl 0877.90020) Full Text: DOI
Rodriguez, Alvaro On the local stability of the stationary solution to variational problems. (English) Zbl 0875.90138 J. Econ. Dyn. Control 20, No. 1-3, 415-431 (1995). MSC: 91B62 93D99 PDF BibTeX XML Cite \textit{A. Rodriguez}, J. Econ. Dyn. Control 20, No. 1--3, 415--431 (1995; Zbl 0875.90138) Full Text: DOI
Nishimura, Kazuo; Sorger, Gerhard; Yano, Makoto Ergodic chaos in optimal growth models with low discount rates. (English) Zbl 0824.90032 Econ. Theory 4, No. 5, 705-717 (1994). Reviewer: A.Slivinskas (Vilnius) MSC: 91B62 37D45 PDF BibTeX XML Cite \textit{K. Nishimura} et al., Econ. Theory 4, No. 5, 705--717 (1994; Zbl 0824.90032) Full Text: DOI
Semmler, Willi; Sieveking, Malte On the optimal exploitation of interacting resources. (English) Zbl 0798.90018 J. Econ. 59, No. 1, 23-49 (1994). MSC: 91B76 49L20 91B62 PDF BibTeX XML Cite \textit{W. Semmler} and \textit{M. Sieveking}, J. Econ. 59, No. 1, 23--49 (1994; Zbl 0798.90018) Full Text: DOI
Nishimura, Kazuo; Yano, Makoto Interlinkage in the endogenous real business cycles of international economies. (English) Zbl 0808.90035 Econ. Theory 3, No. 1, 151-168 (1993). MSC: 91B62 PDF BibTeX XML Cite \textit{K. Nishimura} and \textit{M. Yano}, Econ. Theory 3, No. 1, 151--168 (1993; Zbl 0808.90035) Full Text: DOI
Sorger, G. Local stability of stationary states in discounted optimal control systems. (English) Zbl 0793.90013 J. Optimization Theory Appl. 72, No. 1, 143-162 (1992). MSC: 91B62 49J15 PDF BibTeX XML Cite \textit{G. Sorger}, J. Optim. Theory Appl. 72, No. 1, 143--162 (1992; Zbl 0793.90013) Full Text: DOI
Feichtinger, Gustav Limit cycles in dynamic economic systems. (English) Zbl 0787.90006 Ann. Oper. Res. 37, No. 1-4, 313-344 (1992). Reviewer: T.Nowicki (Warszawa) MSC: 91B62 37G99 37G15 PDF BibTeX XML Cite \textit{G. Feichtinger}, Ann. Oper. Res. 37, No. 1--4, 313--344 (1992; Zbl 0787.90006) Full Text: DOI
Huijberts, Henri; Withagen, Cees Local asymptotic stability of optimal steady states. (English) Zbl 0772.90016 Econ. Lett. 40, No. 1, 7-11 (1992). MSC: 91B62 93C95 93D20 93C15 PDF BibTeX XML Cite \textit{H. Huijberts} and \textit{C. Withagen}, Econ. Lett. 40, No. 1, 7--11 (1992; Zbl 0772.90016) Full Text: DOI
Mitra, Tapan; Ray, Debraj; Roy, Rahul The economics of orchards: An exercise in point-input, flow-output capital theory. (English) Zbl 0733.90023 J. Econ. Theory 53, No. 1, 12-50 (1991). MSC: 91B62 91B66 91B28 PDF BibTeX XML Cite \textit{T. Mitra} et al., J. Econ. Theory 53, No. 1, 12--50 (1991; Zbl 0733.90023) Full Text: DOI
Dockner, Engelbert J.; Feichtinger, Gustav On the optimality of limit cycles in dynamic economic systems. (English) Zbl 0733.90022 J. Economics 53, No. 1, 31-50 (1991). MSC: 91B62 93C10 PDF BibTeX XML Cite \textit{E. J. Dockner} and \textit{G. Feichtinger}, J. Econ. 53, No. 1, 31--50 (1991; Zbl 0733.90022) Full Text: DOI
LaFrance, Jeffrey T.; Barney, L. Dwayne The envelope theorem in dynamic optimization. (English) Zbl 0733.49019 J. Econ. Dyn. Control 15, No. 2, 355-385 (1991). Reviewer: R.Gessing (Gliwice) MSC: 49K15 93C95 91B62 PDF BibTeX XML Cite \textit{J. T. LaFrance} and \textit{L. D. Barney}, J. Econ. Dyn. Control 15, No. 2, 355--385 (1991; Zbl 0733.49019) Full Text: DOI
Haurie, A.; Van Delft, Ch. Turnpike properties for a class of piecewise deterministic systems arising in manufacturing flow control. (English) Zbl 0723.93083 Ann. Oper. Res. 29, No. 1-4, 351-373 (1991). Reviewer: K.Marti (Neubiberg) MSC: 93E20 90C40 90B30 PDF BibTeX XML Cite \textit{A. Haurie} and \textit{Ch. Van Delft}, Ann. Oper. Res. 29, No. 1--4, 351--373 (1991; Zbl 0723.93083) Full Text: DOI
Benhabib, Jess; Rustichini, Aldo Equilibrium cycling with small discounting. (English) Zbl 0722.90013 J. Econ. Theory 52, No. 2, 423-432 (1990). Reviewer: G.Sviridyuk (Chelyabinsk) MSC: 91B62 34C23 PDF BibTeX XML Cite \textit{J. Benhabib} and \textit{A. Rustichini}, J. Econ. Theory 52, No. 2, 423--432 (1990; Zbl 0722.90013) Full Text: DOI
Aulin, Arvid The condition of self-steering of economic development. (English) Zbl 0689.90017 Math. Soc. Sci. 18, No. 3, 239-261 (1989). Reviewer: S.Honkapohja MSC: 91B62 92D25 PDF BibTeX XML Cite \textit{A. Aulin}, Math. Soc. Sci. 18, No. 3, 239--261 (1989; Zbl 0689.90017) Full Text: DOI
Sorger, Gerhard On the optimality and stability of competitive paths in continuous time growth models. (English) Zbl 0685.90027 J. Econ. Theory 48, No. 2, 526-547 (1989). Reviewer: M.Luptáčik MSC: 91B62 49K15 93C95 PDF BibTeX XML Cite \textit{G. Sorger}, J. Econ. Theory 48, No. 2, 526--547 (1989; Zbl 0685.90027) Full Text: DOI
Zhang, Wei-Bin Existence of aperiodic time-dependent solutions in optimal growth economy with three sectors. (English) Zbl 0683.90017 Int. J. Syst. Sci. 20, No. 10, 1943-1953 (1989). MSC: 91B62 49J15 PDF BibTeX XML Cite \textit{W.-B. Zhang}, Int. J. Syst. Sci. 20, No. 10, 1943--1953 (1989; Zbl 0683.90017) Full Text: DOI
Zhang, Wei-Bin Hopf bifurcations in multisector models of optimal economic growth. (English) Zbl 1328.91236 Econ. Lett. 26, No. 4, 329-334 (1988). MSC: 91B62 91B66 37N40 PDF BibTeX XML Cite \textit{W.-B. Zhang}, Econ. Lett. 26, No. 4, 329--334 (1988; Zbl 1328.91236) Full Text: DOI
Fershtman, Chaim; Muller, Eitan Turnpike properties of capital accumulation games. (English) Zbl 0602.90149 J. Econ. Theory 38, 167-177 (1986). Reviewer: G.J.Olsder MSC: 91A23 91B62 91B28 91A40 PDF BibTeX XML Cite \textit{C. Fershtman} and \textit{E. Muller}, J. Econ. Theory 38, 167--177 (1986; Zbl 0602.90149) Full Text: DOI
DasGupta, S. A local analysis of stability and regularity of stationary states in discrete symmetric optimal capital accumulation models. (English) Zbl 0584.90017 J. Econ. Theory 36, 302-318 (1985). Reviewer: D.Bigman MSC: 91B62 91B28 PDF BibTeX XML Cite \textit{S. DasGupta}, J. Econ. Theory 36, 302--318 (1985; Zbl 0584.90017) Full Text: DOI
Yano, Makoto The turnpike of dynamic general equilibrium paths and its insensitivity to initial conditions. (English) Zbl 0597.90020 J. Math. Econ. 13, 235-254 (1984). MSC: 91B62 PDF BibTeX XML Cite \textit{M. Yano}, J. Math. Econ. 13, 235--254 (1984; Zbl 0597.90020) Full Text: DOI
Rubinov, A. M. Economic dynamics. (English) Zbl 0544.90016 J. Sov. Math. 26, 1975-2012 (1984). MSC: 91B62 91B66 90-02 PDF BibTeX XML Cite \textit{A. M. Rubinov}, J. Sov. Math. 26, 1975--2012 (1984; Zbl 0544.90016) Full Text: DOI
Fershtman, Chaim; Muller, Eitan Capital accumulation games of infinite duration. (English) Zbl 0541.90006 J. Econ. Theory 33, 322-339 (1984). Reviewer: S.C.Shih MSC: 91B28 91A23 91A80 91B62 PDF BibTeX XML Cite \textit{C. Fershtman} and \textit{E. Muller}, J. Econ. Theory 33, 322--339 (1984; Zbl 0541.90006) Full Text: DOI
Lucas, Robert E. jun.; Stokey, Nancy L. Optimal growth with many consumers. (English) Zbl 0525.90026 J. Econ. Theory 32, 139-171 (1984). MSC: 91B62 90C39 90C90 PDF BibTeX XML Cite \textit{R. E. Lucas jun.} and \textit{N. L. Stokey}, J. Econ. Theory 32, 139--171 (1984; Zbl 0525.90026) Full Text: DOI
Cheng, Leonard; Hart, David The local stability of an open-loop Nash equilibrium in a finite horizon differential game. (English) Zbl 0538.90105 J. Math. Econ. 12, 139-147 (1983). Reviewer: A.V.Kryazhimskij MSC: 91A23 91A40 91B62 91A10 PDF BibTeX XML Cite \textit{L. Cheng} and \textit{D. Hart}, J. Math. Econ. 12, 139--147 (1983; Zbl 0538.90105) Full Text: DOI
Rosser, J. Barkley jun. Reswitching as a cusp catastrophe. (English) Zbl 0523.90038 J. Econ. Theory 31, 182-193 (1983). MSC: 91B62 58E17 58K35 PDF BibTeX XML Cite \textit{J. B. Rosser jun.}, J. Econ. Theory 31, 182--193 (1983; Zbl 0523.90038) Full Text: DOI
Haurie, A. Stability and optimal exploitation over an infinite time horizon of interacting populations. (English) Zbl 0556.92019 Optim. Control Appl. Methods 3, 241-256 (1982). Reviewer: S.Merrill MSC: 92D40 49J15 49J99 91B62 PDF BibTeX XML Cite \textit{A. Haurie}, Optim. Control Appl. Methods 3, 241--256 (1982; Zbl 0556.92019) Full Text: DOI
Bewley, Truman An integration of equilibrium theory and turnpike theory. (English) Zbl 0513.90012 J. Math. Econ. 10, 233-267 (1982). MSC: 91B50 91B62 PDF BibTeX XML Cite \textit{T. Bewley}, J. Math. Econ. 10, 233--267 (1982; Zbl 0513.90012) Full Text: DOI
McKenzie, Lionel W. A primal route to the turnpike and Lyapunov stability. (English) Zbl 0504.90010 J. Econ. Theory 27, 194-209 (1982). MSC: 91B62 PDF BibTeX XML Cite \textit{L. W. McKenzie}, J. Econ. Theory 27, 194--209 (1982; Zbl 0504.90010) Full Text: DOI
Benveniste, L. M.; Scheinkman, José Alexandre Duality theory for dynamic optimization models of economics: The continuous time case. (English) Zbl 0503.90023 J. Econ. Theory 27, 1-19 (1982). MSC: 91B62 91B50 PDF BibTeX XML Cite \textit{L. M. Benveniste} and \textit{J. A. Scheinkman}, J. Econ. Theory 27, 1--19 (1982; Zbl 0503.90023) Full Text: DOI
Nishimura, Kiyohiko Giichi On uniqueness of a steady state and convergence of optimal paths in multisector models of optimal growth with a discount rate. (English) Zbl 0472.90016 J. Econ. Theory 24, 157-167 (1981). MSC: 91B62 91B66 PDF BibTeX XML Cite \textit{K. G. Nishimura}, J. Econ. Theory 24, 157--167 (1981; Zbl 0472.90016) Full Text: DOI
Gaines, Robert E. Existence of solutions of Hamiltonian dynamical systems of economic growth with Marxian savings hypothesis. (English) Zbl 0446.90014 J. Econ. Theory 23, 1-14 (1980). MSC: 91B62 PDF BibTeX XML Cite \textit{R. E. Gaines}, J. Econ. Theory 23, 1--14 (1980; Zbl 0446.90014) Full Text: DOI
Haurie, A. Existence and global asymptotic stability of optimal trajectories for a class of infinite-horizon, nonconvex systems. (English) Zbl 0417.49023 J. Optimization Theory Appl. 31, 515-533 (1980). MSC: 49K15 49K40 PDF BibTeX XML Cite \textit{A. Haurie}, J. Optim. Theory Appl. 31, 515--533 (1980; Zbl 0417.49023) Full Text: DOI
Sobel, Joel Fair allocations of a renewable resource. (English) Zbl 0427.90024 J. Econ. Theory 21, 235-248 (1979). MSC: 91B62 91B76 PDF BibTeX XML Cite \textit{J. Sobel}, J. Econ. Theory 21, 235--248 (1979; Zbl 0427.90024) Full Text: DOI
Benhabib, Jess; Nishimura, Kazuo The Hopf bifurcation and the existence and stability of closed orbits in multisector models of optimal economic growth. (English) Zbl 0427.90021 J. Econ. Theory 21, 421-444 (1979). MSC: 91B62 PDF BibTeX XML Cite \textit{J. Benhabib} and \textit{K. Nishimura}, J. Econ. Theory 21, 421--444 (1979; Zbl 0427.90021) Full Text: DOI
Brock, W. A.; Mazumdar, M. Global asymptotic stability results for multisector models of optional growth under uncertainty when future utilities are discounted. (English) Zbl 0414.90022 J. Econ. Theory 18, 225-243 (1978). MSC: 91B62 PDF BibTeX XML Cite \textit{W. A. Brock} and \textit{M. Mazumdar}, J. Econ. Theory 18, 225--243 (1978; Zbl 0414.90022) Full Text: DOI
Burmeister, Edwin Uniqueness of rest points for optimal control models in economics. (English) Zbl 0382.49031 Automatica 14, 157-160 (1978). MSC: 93D99 91B60 91B16 49K15 PDF BibTeX XML Cite \textit{E. Burmeister}, Automatica 14, 157--160 (1978; Zbl 0382.49031) Full Text: DOI
Magill, Michael J. P. Some new results on the local stability of the process of capital accumulation. (English) Zbl 0372.90009 J. Econ. Theory 15, 174-210 (1977). MSC: 91B60 70G99 34D20 93D05 PDF BibTeX XML Cite \textit{M. J. P. Magill}, J. Econ. Theory 15, 174--210 (1977; Zbl 0372.90009) Full Text: DOI
Gaines, Robert E. Existence and the Cass-Shell stability condition for Hamiltonian systems of optimal growth. (English) Zbl 0363.90030 J. Econ. Theory 15, 16-25 (1977). MSC: 91B60 93B05 93A15 PDF BibTeX XML Cite \textit{R. E. Gaines}, J. Econ. Theory 15, 16--25 (1977; Zbl 0363.90030) Full Text: DOI
Cass, David; Shell, Karl Introduction to Hamiltonian dynamics in economics. (English) Zbl 0391.90024 J. Econ. Theory 12, 1-10 (1976). MSC: 91B62 PDF BibTeX XML Cite \textit{D. Cass} and \textit{K. Shell}, J. Econ. Theory 12, 1--10 (1976; Zbl 0391.90024) Full Text: DOI
Cass, David; Shell, Karl The structure and stability of competitive dynamical systems. (English) Zbl 0348.90039 J. Econ. Theory 12, 31-70 (1976). MSC: 91B60 37J99 PDF BibTeX XML Cite \textit{D. Cass} and \textit{K. Shell}, J. Econ. Theory 12, 31--70 (1976; Zbl 0348.90039) Full Text: DOI
Brock, William A.; Scheinkman, José Alexandre Global asymptotic stability of optimal control systems with applications to the theory of economic growth. (English) Zbl 0348.90018 J. Econ. Theory. 12, 164-190 (1976). MSC: 91B60 37J99 34D20 PDF BibTeX XML Cite \textit{W. A. Brock} and \textit{J. A. Scheinkman}, J. Econ. Theory 12, 164--190 (1976; Zbl 0348.90018) Full Text: DOI
Lau, Lawrence J. A characterization of the normalized restricted profit function. (English) Zbl 0341.90012 J. Econ. Theory 12, 131-163 (1976). MSC: 91B60 37J99 PDF BibTeX XML Cite \textit{L. J. Lau}, J. Econ. Theory 12, 131--163 (1976; Zbl 0341.90012) Full Text: DOI
Rockafellar, R. T. A growth property in concave-convex Hamiltonian systems. (English) Zbl 0333.90008 J. Econ. Theory 12, 191-196 (1976). MSC: 91B60 37J99 90C25 PDF BibTeX XML Cite \textit{R. T. Rockafellar}, J. Econ. Theory 12, 191--196 (1976; Zbl 0333.90008) Full Text: DOI
Brock, W. A.; Scheinkman, José Alexandre Some results on global asymptotic stability of difference equations. (English) Zbl 0308.39001 J. Econ. Theory 10, 265-268 (1975). MSC: 39A10 90-00 34D05 PDF BibTeX XML Cite \textit{W. A. Brock} and \textit{J. A. Scheinkman}, J. Econ. Theory 10, 265--268 (1975; Zbl 0308.39001) Full Text: DOI