Recursive utility and optimal capital accumulation. I. Existence
Data up to Jan 2025
Total Citations Per Year
Abstract
References (78)
A Mathematical Theory of Saving
1928 • 5,698 citations
Convex Analysis and Variational Problems
1976 • 4,055 citations
Uncertain Lifetime, Life Insurance, and the Theory of the Consumer
1965 • 3,214 citations
The Theory of Interest
2013 • 2,919 citations
Optimization—Theory and Applications
1983 • 2,600 citations
Debt, Deficits, and Finite Horizons
1985 • 2,298 citations
Stationary Ordinal Utility and Impatience
1960 • 1,494 citations
Linear Inequalities and Related Systems.
1956 • 988 citations
Ekeland, I. / Temam, R., Convex Analysis and Variational Problems. Amsterdam‐Oxford. North‐Holland Publ. Company. 1976. IX, 402 S., Dfl. 85.00. US $ 29.50 (SMAA 1)
1979 • 794 citations
A Model of General Economic Equilibrium
1945 • 776 citations
Lectures on the Calculus of Variations and Optimal Control Theory
1971 • 651 citations
A Model of General Economic Equilibrium
1971 • 626 citations
Optimal Growth with Intertemporally Dependent Preferences
1973 • 614 citations
Ordinary Differential Equations
1983 • 607 citations
Ordinary Differential Equations
1965 • 596 citations
Capital and growth
1971 • 589 citations
Lectures on the Calculus of Variations and Optimal Control Theory.
1971 • 527 citations
Optimal Growth with a Convex-Concave Production Function
1978 • 461 citations
Time preference, the consumption function, and optimum asset holdings
1989 • 453 citations
Optimal growth with many consumers
1984 • 384 citations
Integral functionals, normal integrands and measurable selections
1976 • 364 citations
The hopf bifurcation and the existence and stability of closed orbits in multisector models of optimal economic growth
1979 • 351 citations
The Rate of Time Preference and Dynamic Economic Analysis
1983 • 286 citations
Value, Capital, and Growth: Papers in Honour of Sir John Hicks.
1969 • 283 citations
Introduction to Hilbert Space
1961 • 278 citations
Intertemporal dependence, impatience, and dynamics
1990 • 249 citations
A simple dynamic general equilibrium model
1987 • 240 citations
A Generalization of the von Neumann Model of an Expanding Economy
1956 • 228 citations
Stationary cardinal utility and optimal growth under uncertainty
1983 • 218 citations
On Lower Semicontinuity of Integral Functionals. II
1977 • 215 citations
Some results on “an income fluctuation problem”
1977 • 191 citations
Objectives, Constraints, and Outcomes in Optimal Growth Models
1967 • 168 citations
On Lower Semicontinuity of Integral Functionals. I
1977 • 140 citations
An income fluctuation problem
1976 • 138 citations
Economically optimal policies for the utilization of biologically renewable resources
1971 • 132 citations
The Global Stability of Efficient Intertemporal Allocations
1987 • 131 citations
Nonlinear Operators and the Calculus of Variations
1976 • 129 citations
Objectives, Constraints, and Outcomes in Optimal Growth Models
1969 • 128 citations
Recursive utility and the Ramsey problem
1990 • 128 citations
Infinite-dimensional optimization and convexity
1983 • 128 citations
Mathematical models in economics
1996 • 115 citations
A characterization of Ramsey equilibrium
1987 • 105 citations
An existence result for optimal economic growth problems
1983 • 100 citations
18. The Closed Linear Model of Production
1957 • 92 citations
Notes on Turnpikes: Stable and unstable
1969 • 92 citations
On Existence of Overtaking Optimal Trajectories Over an Infinite Time Horizon
1976 • 88 citations
Cake Eating, Chattering, and Jumps: Existence Results for Variational Problems
1986 • 82 citations
Models of Economic Growth.
1972 • 76 citations
Concepts of Optimality and Their Uses
1976 • 71 citations
Non-Convexities in Continuous-Time Investment Theory
1981 • 70 citations
Maximizing Stationary Utility in a Constant Technology
1969 • 65 citations
Optimal growth under factor augmenting progress
1969 • 64 citations
Optimal Saving Programs under Intertemporally Dependent Preferences
1970 • 57 citations
Existence theorems for lagrange control problems with unbounded time domain
1976 • 49 citations
Lower semicontinuity and lower closure theorems without seminormality conditions
1974 • 48 citations
Infinite Horizon Programs
1981 • 48 citations
Maximum principle and transversality condition for concave infinite horizon economic models
1983 • 46 citations
An introduction to hilbert space
1990 • 45 citations
Mathematical Economics
2000 • 44 citations
Weak lower semicontinuity of integral functionals
1976 • 42 citations
Existence of Overtaking Optimal Trajectories for Problems with Convex Integrands
1985 • 36 citations
On Optimal Economic Growth with Variable Discount Rates: Existence and Stability Results
1979 • 36 citations
Asymptotic behavior and optimal properties of a consumption-investment model with variable time preference
1984 • 29 citations
Existence and global asymptotic stability of optimal trajectories for a class of infinite-horizon, nonconvex systems
1980 • 28 citations
Some Remarks on Optimal Growth with Intertemporally Dependent Preferences in the Neoclassical Model
1975 • 26 citations
Weak Lower Semicontinuity of Integral Functionals
1976 • 25 citations
A necessary and sufficient condition for lower semicontinuity
1974 • 24 citations
A sensitivity analysis on optimal economic growth
1980 • 22 citations
Optimal control with an unbounded horizon
1985 • 20 citations
On the existence of catching-up optimal solutions for Lagrange problems defined on unbounded intervals
1986 • 16 citations
Existence Theorems for Optimal Control and Calculus of Variations Problems Where the States Can Jump
1986 • 16 citations
Lower closure and existence theorems for optimal control problems with infinite horizon
1978 • 14 citations
On the Existence of Optimal Development Programmes in Infinite-Horizon Economies
1973 • 13 citations
SEMICONTINUITY OF INTEGRAL FUNCTIONALS AND EXISTENCE THEOREMS ON EXTREMAL PROBLEMS
1969 • 10 citations
The existence of optimal consumption policies in optimal economic growth models with nonconvex technologies
1985 • 9 citations
Further Aspects of Turnpike Theory in Continuous Time With Applications
1976 • 8 citations
A note on the existence of an optimal capital accumulation in the continuous time horizon
1982 • 8 citations
On the existence of overtaking trajectories
1986 • 6 citations