On the public citation graph

A Systematic Approach to Higher-Order Necessary Conditions in Optimization Theory

https://doi.org/10.1137/0322016

0 signed · 47 inferred · view as graph

Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.

Is this your work? Sign in with ORCID and put your name on the claims that are yours.

Claim with ORCID

Reference health. See whether every reference in this work resolves to a known work and none has been retracted — and get a dated CiteStamped badge you can embed.

See reference health

What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4612-6380-7openalex-snapshot

Deterministic and Stochastic Optimal Control

inferredcites →https://doi.org/10.1007/978-1-4684-9369-6openalex-snapshot

Geometric Functional Analysis and its Applications

inferredcites →https://doi.org/10.1007/978-3-0348-0439-4_12openalex-snapshot

Second Order Conditions for Constrained Minima

inferredcites →https://doi.org/10.1007/bf00932890openalex-snapshot

A second-order Lagrangian condition for restricted control problems

inferredcites →https://doi.org/10.1007/bf00933151openalex-snapshot

Higher-order necessary conditions in abstract mathematical programming

inferredcites →https://doi.org/10.1007/bf00934107openalex-snapshot

Second-order and related extremality conditions in nonlinear programming

inferredcites →https://doi.org/10.1007/bf00934437openalex-snapshot

Second-order necessary conditions in optimal control: Accessory-problem results without normality conditions

inferredcites →https://doi.org/10.1007/bf01582096openalex-snapshot

First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems

inferredcites →https://doi.org/10.1007/bfb0006504openalex-snapshot

Second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems

inferredcites →https://doi.org/10.1007/bfb0007271openalex-snapshot

Higher Order Necessary Conditions in Optimal Control Theory

inferredcites →https://doi.org/10.1007/bfb0091379openalex-snapshot

Higher order necessary conditions in optimal control theory

inferredcites →https://doi.org/10.1007/bfb0120922openalex-snapshot

Higher order necessary conditions for an abstract optimization problem

inferredcites →https://doi.org/10.1007/bfb0120982openalex-snapshot

A unified theory of first and second order conditions for extremum problems in topological vector spaces

inferredcites →https://doi.org/10.1016/0016-0032(70)90063-3openalex-snapshot

Theory of optimal control and mathematical programming

inferredcites →https://doi.org/10.1016/0022-0396(78)90073-6openalex-snapshot

A second-order condition that strengthens Pontryagin's maximum principle

inferredcites →https://doi.org/10.1016/c2013-0-11669-8openalex-snapshot

Optimal Control of Differential and Functional Equations

inferredcites →https://doi.org/10.1016/s0022-0000(69)80007-3openalex-snapshot

A general theory of extremals

inferredcites →https://doi.org/10.1016/s0076-5392(08)x6179-xopenalex-snapshot

Singular Optimal Control Problems

inferredcites →https://doi.org/10.1017/cbo9780511897191openalex-snapshot

Differential Analysis

inferredcites →https://doi.org/10.1070/sm1976v029n04abeh003685openalex-snapshot

A SECOND ORDER OPTIMALITY PRINCIPLE FOR A TIME-OPTIMAL PROBLEM

inferredcites →https://doi.org/10.1088/0031-9112/18/9/022openalex-snapshot

Calculus of Variations and Optimal Control Theory

inferredcites →https://doi.org/10.1090/s0002-9947-1942-0006828-2openalex-snapshot

Sufficient Conditions for a Weak Relative Minimum in the Problem of Bolza

inferredcites →https://doi.org/10.1093/comjnl/12.3.207-aopenalex-snapshot

Nonlinear Programming--Sequential Unconstrained Minimization Techniques

inferredcites →https://doi.org/10.1109/tac.1980.1102394openalex-snapshot

Optimal periodic control: The π test revisited

inferredcites →https://doi.org/10.1137/0115056openalex-snapshot

Second Order Conditions for Constrained Minima

inferredcites →https://doi.org/10.1137/0307019openalex-snapshot

On Second Order Necessary Conditions of Optimality

inferredcites →https://doi.org/10.1137/0310012openalex-snapshot

High Order Necessary Conditions for Optimality

inferredcites →https://doi.org/10.1137/0315019openalex-snapshot

The High Order Maximal Principle and Its Application to Singular Extremals

inferredcites →https://doi.org/10.1137/0317021openalex-snapshot

Necessary and Sufficient Conditions for a Local Minimum. 3: Second Order Conditions and Augmented Duality

inferredcites →https://doi.org/10.1515/9781400870530openalex-snapshot

Optimization: A Theory of Necessary Conditions

inferredcites →https://doi.org/10.2307/2005033openalex-snapshot

Calculus of Variations and Optimal Control Theory

inferredcites →https://doi.org/10.2307/2344363openalex-snapshot

Deterministic and Stochastic Optimal Control.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-1-4757-6019-4_25openalex-snapshot

Local and Global Directional Controllability: Sufficient Conditions and Examples

inferred← citeshttps://doi.org/10.1007/bf00934437openalex-snapshot

Second-order necessary conditions in optimal control: Accessory-problem results without normality conditions

inferred← citeshttps://doi.org/10.1016/0022-247x(86)90208-8openalex-snapshot

Optimality for periodic control of functional differential systems

inferred← citeshttps://doi.org/10.1016/j.jde.2020.10.005openalex-snapshot

Second order necessary conditions for endpoints-constrained optimal control problems on Riemannian manifolds

inferred← citeshttps://doi.org/10.1093/imamci/dnl008openalex-snapshot

Mixed constraints in optimal control: an implicit function theorem approach

inferred← citeshttps://doi.org/10.1109/cdc.1983.269818openalex-snapshot

Higher-order necessary conditions in optimization theory: A systematic approach

inferred← citeshttps://doi.org/10.1109/cdc.1983.269864openalex-snapshot

Control constraints, abnormality and improved performance by periodic control

inferred← citeshttps://doi.org/10.1109/cdc.1985.268560openalex-snapshot

Second order necessary conditions for optimal control problems with control and integral constraints

inferred← citeshttps://doi.org/10.1109/tac.1985.1103948openalex-snapshot

Control constraints, abnormality, and improved performance by periodic control

inferred← citeshttps://doi.org/10.1137/0322032openalex-snapshot

Second Order Necessary Conditions in Optimization

inferred← citeshttps://doi.org/10.1137/0323005openalex-snapshot

Second Order Controllability and Optimization with Ordinary Controls

inferred← citeshttps://doi.org/10.1137/0324044openalex-snapshot

Higher Order Conditions with and without Lagrange Multipliers

inferred← citeshttps://doi.org/10.1137/0326085openalex-snapshot

Higher-Order Conditions for Conical Controllability

inferred← citeshttps://doi.org/10.1137/20m1378260openalex-snapshot

Second-Order Necessary Conditions for Optimal Control Problems with Endpoints-Constraints and Convex Control-Constraints

inferred← citeshttps://doi.org/10.4236/ojop.2016.53011openalex-snapshot

Optimal Multiperiodic Control for Inventory Coupled Systems: A Multifrequency Second-Order Test

Editorial review for independent work. ICSAC — the Institute for Complexity Science and Advanced Computing — runs a structured editorial panel for researchers publishing outside journals, and publishes on CiteStamp rails. Submission is free and goes through ORCID: icsacinstitute.org/submit.