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Applicable Analysis
An International Journal
Volume 99, 2020 - Issue 9
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Articles

Constrained variational problems governed by second-order Lagrangians

Savin TreanţăFaculty of Applied Sciences, Department of Applied Mathematics, University Politehnica of Bucharest, Bucharest, RomaniaCorrespondence[email protected]
Pages 1467-1484 | Received 11 Jun 2018, Accepted 13 Oct 2018, Published online: 27 Oct 2018

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Koushik Das & Savin Treanţă. (2023) Constrained controlled optimization problems involving second-order derivatives. Quaestiones Mathematicae 46:6, pages 1093-1103.
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Savin Treanţă, Shipra Singh & Anurag Jayswal. (2022) On a class of variational-type inequalities involving curvilinear integral functionals. Optimization 71:16, pages 4835-4853.
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Savin Treanţă. (2022) On a class of controlled differential variational inequalities. Applicable Analysis 101:17, pages 6191-6211.
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Savin Treanţă. (2022) Saddle-point optimality criteria involving (p, b, d)-invexity and (p, b, d)-pseudoinvexity in interval-valued optimisation problems. International Journal of Control 95:4, pages 1042-1050.
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Articles from other publishers (29)

Savin Treanţă & Izhar Ahmad. (2023) Controlled nonlinear dynamics generated by isoperimetric constrained optimization problems involving second-order partial derivatives. Systems & Control Letters 179, pages 105591.
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Savin Treanţă & Tareq Saeed. (2022) Duality Results for a Class of Constrained Robust Nonlinear Optimization Problems. Mathematics 11:1, pages 192.
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Ritu, Savin Treanţă, Divya Agarwal & Geeta Sachdev. (2022) Robust Efficiency Conditions in Multiple-Objective Fractional Variational Control Problems. Fractal and Fractional 7:1, pages 18.
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Savin Treanţă. (2022) Robust optimality in constrained optimization problems with application in mechanics. Journal of Mathematical Analysis and Applications 515:2, pages 126440.
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Savin Treanta. (2022) LU-Optimality Conditions in Optimization Problems With Mechanical Work Objective Functionals. IEEE Transactions on Neural Networks and Learning Systems 33:9, pages 4971-4978.
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Savin Treanţă, Kamsing Nonlaopon & Muhammad Bilal Khan. (2022) On controlled Hamilton and Hamilton–Jacobi differential equations of higher-order. Scientific Reports 12:1.
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Savin Treanţă. (2022) Lagrange-Hamilton Approach in Optimization Problems with Isoperimetric-Type Constraints. Journal of Optimization Theory and Applications 194:2, pages 508-520.
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Savin Treanţă. (2022) Recent Advances of Constrained Variational Problems Involving Second-Order Partial Derivatives: A Review. Mathematics 10:15, pages 2599.
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Li-Tao Zhang & Yi-Fan Zhang. (2022) A modified variant of HSS preconditioner for generalized saddle point problems. Advances in Mechanical Engineering 14:7, pages 168781322211112.
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Savin Treanţă, Muhammad Bilal Khan & Tareq Saeed. (2022) Optimality for Control Problem with PDEs of Second-Order as Constraints. Mathematics 10:6, pages 977.
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Savin Treanţă, Shalini Jha, Muhammad Bilal Khan & Tareq Saeed. (2022) On Some Constrained Optimization Problems. Mathematics 10:5, pages 818.
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Anurag Jayswal, Preeti & Savin TreanţӑAnurag Jayswal, Preeti & Savin Treanţă. 2022. Multi-dimensional Control Problems. Multi-dimensional Control Problems 1 23 .
Savin Treanţă. (2021) Robust saddle‐point criterion in second‐order partial differential equation and partial differential inequation constrained control problems. International Journal of Robust and Nonlinear Control 31:18, pages 9282-9293.
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Savin Treanţă. (2021) On well-posed isoperimetric-type constrained variational control problems. Journal of Differential Equations 298, pages 480-499.
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Savin Treanţă & Koushik Das. (2021) On Robust Saddle-Point Criterion in Optimization Problems with Curvilinear Integral Functionals. Mathematics 9:15, pages 1790.
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Savin Treanţă. (2021) On a Class of Second-Order PDE&PDI Constrained Robust Modified Optimization Problems. Mathematics 9:13, pages 1473.
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Savin Treanţă. (2021) Second-Order PDE Constrained Controlled Optimization Problems with Application in Mechanics. Mathematics 9:13, pages 1472.
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Savin Treanţă. (2021) On a Class of Isoperimetric Constrained Controlled Optimization Problems. Axioms 10:2, pages 112.
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Savin Treanţă. (2020) Efficiency in uncertain variational control problems. Neural Computing and Applications 33:11, pages 5719-5732.
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Xu-Hui Cheng & Guo-Qing Huang. (2021) A Comparison between Second-Order Post-Newtonian Hamiltonian and Coherent Post-Newtonian Lagrangian in Spinning Compact Binaries. Symmetry 13:4, pages 584.
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Savin Treanţă. (2021) On a Class of Constrained Interval-Valued Optimization Problems Governed by Mechanical Work Cost Functionals. Journal of Optimization Theory and Applications 188:3, pages 913-924.
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Rong-jian Ning, Xiao-yan Liu & Zhi Liu. (2021) Conversion calculation method of multivariate integrals. AIMS Mathematics 6:3, pages 3009-3024.
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Savin Treanţă. (2020) On weak sharp solutions in $(\rho , \mathbf{b}, \mathbf{d})$-variational inequalities. Journal of Inequalities and Applications 2020:1.
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Savin Treanţă. (2020) A necessary and sufficient condition of optimality for a class of multidimensional control problems. Optimal Control Applications and Methods 41:6, pages 2137-2148.
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Savin Treanţă & Ştefan Mititelu. (2020) Efficiency for variational control problems on Riemann manifolds with geodesic quasiinvex curvilinear integral functionals. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 114:3.
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Savin Treanţă. (2020) On a modified optimal control problem with first-order PDE constraints and the associated saddle-point optimality criterion. European Journal of Control 51, pages 1-9.
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Silviu-Aurelian Urziceanu. (2019) Necessary Optimality Conditions in Isoperimetric Constrained Optimal Control Problems. Symmetry 11:11, pages 1380.
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Cipu. (2019) Duality Results in Quasiinvex Variational Control Problems with Curvilinear Integral Functionals. Mathematics 7:9, pages 811.
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Savin Treanţă. (2019) Noether-Type First Integrals Associated with Autonomous Second-Order Lagrangians. Symmetry 11:9, pages 1088.
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