Gangl, P.; Gfrerer, M. H. A unified approach to shape and topological sensitivity analysis of discretized optimal design problems. (English) Zbl 1517.49026 Appl. Math. Optim. 88, No. 2, Paper No. 46, 52 p. (2023). MSC: 49Q12 49Q10 65K10 35K57 PDFBibTeX XMLCite \textit{P. Gangl} and \textit{M. H. Gfrerer}, Appl. Math. Optim. 88, No. 2, Paper No. 46, 52 p. (2023; Zbl 1517.49026) Full Text: DOI arXiv
Toan, N. T.; Thuy, L. Q. The Clarke coderivative of the frontier map in a multi-objective optimal control problem. (English) Zbl 1523.49026 Appl. Math. Optim. 88, No. 2, Paper No. 42, 31 p. (2023). Reviewer: Nicolas Hadjisavvas (Ermoupoli) MSC: 49K21 34K35 49J53 90B50 90C31 93C15 90C29 PDFBibTeX XMLCite \textit{N. T. Toan} and \textit{L. Q. Thuy}, Appl. Math. Optim. 88, No. 2, Paper No. 42, 31 p. (2023; Zbl 1523.49026) Full Text: DOI
Gomoyunov, Mikhail Sensitivity analysis of value functional of fractional optimal control problem with application to feedback construction of near optimal controls. (English) Zbl 1519.49028 Appl. Math. Optim. 88, No. 2, Paper No. 41, 49 p. (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 49Q12 49N35 34A08 49L12 49J52 PDFBibTeX XMLCite \textit{M. Gomoyunov}, Appl. Math. Optim. 88, No. 2, Paper No. 41, 49 p. (2023; Zbl 1519.49028) Full Text: DOI arXiv
Hermosilla, Cristopher; Zidani, Hasnaa Relationship between the maximum principle and dynamic programming for minimax problems. (English) Zbl 1509.49014 Appl. Math. Optim. 87, No. 2, Paper No. 34, 35 p. (2023). MSC: 49K35 49K40 90C39 49L20 PDFBibTeX XMLCite \textit{C. Hermosilla} and \textit{H. Zidani}, Appl. Math. Optim. 87, No. 2, Paper No. 34, 35 p. (2023; Zbl 1509.49014) Full Text: DOI
An, D. T. V.; Huong, V. T.; Xu, H. K. Differential stability of discrete optimal control problems with possibly nondifferentiable costs. (English) Zbl 1500.90046 Appl. Math. Optim. 86, No. 3, Paper No. 37, 32 p. (2022). MSC: 90C25 90C26 90C31 93C55 93C73 49K40 49J53 PDFBibTeX XMLCite \textit{D. T. V. An} et al., Appl. Math. Optim. 86, No. 3, Paper No. 37, 32 p. (2022; Zbl 1500.90046) Full Text: DOI
Caubet, Fabien; Dambrine, Marc; Mahadevan, Rajesh Shape sensitivity of eigenvalue functionals for scalar problems: computing the semi-derivative of a minimum. (English) Zbl 1492.49040 Appl. Math. Optim. 86, No. 1, Paper No. 10, 34 p. (2022). MSC: 49Q10 35P15 49R05 PDFBibTeX XMLCite \textit{F. Caubet} et al., Appl. Math. Optim. 86, No. 1, Paper No. 10, 34 p. (2022; Zbl 1492.49040) Full Text: DOI
Hernández, Elvira; López, Rubén Stability in set-valued optimization problems using asymptotic analysis and epi-convergence. (English) Zbl 1495.49012 Appl. Math. Optim. 86, No. 1, Paper No. 7, 26 p. (2022). MSC: 49J53 65K10 49K40 49J45 54C60 PDFBibTeX XMLCite \textit{E. Hernández} and \textit{R. López}, Appl. Math. Optim. 86, No. 1, Paper No. 7, 26 p. (2022; Zbl 1495.49012) Full Text: DOI
Han, Bingyan; Pun, Chi Seng; Wong, Hoi Ying Robust time-inconsistent stochastic linear-quadratic control with drift disturbance. (English) Zbl 1492.93198 Appl. Math. Optim. 86, No. 1, Paper No. 4, 40 p. (2022). MSC: 93E20 49N10 93B35 60H30 PDFBibTeX XMLCite \textit{B. Han} et al., Appl. Math. Optim. 86, No. 1, Paper No. 4, 40 p. (2022; Zbl 1492.93198) Full Text: DOI
Toan, N. T.; Thuy, L. Q. Sensitivity analysis of multi-objective optimal control problems. (English) Zbl 1477.49038 Appl. Math. Optim. 84, No. 3, 3517-3545 (2021). Reviewer: Vasile Postolică (Piatra Neamţ) MSC: 49K40 90C31 93C15 PDFBibTeX XMLCite \textit{N. T. Toan} and \textit{L. Q. Thuy}, Appl. Math. Optim. 84, No. 3, 3517--3545 (2021; Zbl 1477.49038) Full Text: DOI
Jiang, Yirong; Zhang, Qiongfen; Chen, An; Wei, Zhouchao Sensitivity analysis of optimal control problems governed by nonlinear Hilfer fractional evolution inclusions. (English) Zbl 1483.49035 Appl. Math. Optim. 84, No. 3, 3045-3082 (2021). Reviewer: Juan Casado-Díaz (Sevilla) MSC: 49K40 26A33 PDFBibTeX XMLCite \textit{Y. Jiang} et al., Appl. Math. Optim. 84, No. 3, 3045--3082 (2021; Zbl 1483.49035) Full Text: DOI
Bednarczuk, Ewa M.; Rutkowski, Krzysztof E. On Lipschitz continuity of projections onto polyhedral moving sets. (English) Zbl 1516.49014 Appl. Math. Optim. 84, No. 2, 2147-2175 (2021). MSC: 49J52 49J53 49K40 90C31 PDFBibTeX XMLCite \textit{E. M. Bednarczuk} and \textit{K. E. Rutkowski}, Appl. Math. Optim. 84, No. 2, 2147--2175 (2021; Zbl 1516.49014) Full Text: DOI arXiv
Ghezaiel, Emna; Hassine, Maatoug Topological asymptotic expansion for a thermal problem. (English) Zbl 1470.49066 Appl. Math. Optim. 84, No. 1, 955-995 (2021). MSC: 49N45 49Q12 49Q10 65K05 35Q93 49S05 PDFBibTeX XMLCite \textit{E. Ghezaiel} and \textit{M. Hassine}, Appl. Math. Optim. 84, No. 1, 955--995 (2021; Zbl 1470.49066) Full Text: DOI
Christof, Constantin; Wachsmuth, Gerd Differential sensitivity analysis of variational inequalities with locally Lipschitz continuous solution operators. (English) Zbl 1439.90068 Appl. Math. Optim. 81, No. 1, 23-62 (2020). MSC: 90C33 90C31 49K40 47J20 PDFBibTeX XMLCite \textit{C. Christof} and \textit{G. Wachsmuth}, Appl. Math. Optim. 81, No. 1, 23--62 (2020; Zbl 1439.90068) Full Text: DOI arXiv
An, D. T. V.; Yao, J.-C.; Yen, N. D. Differential stability of a class of convex optimal control problems. (English) Zbl 1466.49001 Appl. Math. Optim. 81, No. 1, 1-22 (2020). MSC: 49J15 49J53 49K40 90C25 90C31 PDFBibTeX XMLCite \textit{D. T. V. An} et al., Appl. Math. Optim. 81, No. 1, 1--22 (2020; Zbl 1466.49001) Full Text: DOI arXiv
Bouchitté, Guy; Fragalà, Ilaria; Lucardesi, Ilaria Sensitivity of the compliance and of the Wasserstein distance with respect to a varying source. (English) Zbl 1417.49057 Appl. Math. Optim. 79, No. 3, 743-768 (2019). MSC: 49Q12 49K40 PDFBibTeX XMLCite \textit{G. Bouchitté} et al., Appl. Math. Optim. 79, No. 3, 743--768 (2019; Zbl 1417.49057) Full Text: DOI
Bociu, Lorena; Zolésio, Jean-Paul Hyperbolic equations with mixed boundary conditions: shape differentiability analysis. (English) Zbl 1378.49046 Appl. Math. Optim. 76, No. 2, 375-398 (2017). MSC: 49Q10 35L05 49Q12 49J20 49N60 PDFBibTeX XMLCite \textit{L. Bociu} and \textit{J.-P. Zolésio}, Appl. Math. Optim. 76, No. 2, 375--398 (2017; Zbl 1378.49046) Full Text: DOI
Nikolić, Vanja; Kaltenbacher, Barbara Sensitivity analysis for shape optimization of a focusing acoustic lens in lithotripsy. (English) Zbl 1378.49051 Appl. Math. Optim. 76, No. 2, 261-301 (2017). MSC: 49Q12 90C31 49S05 92C50 92C55 PDFBibTeX XMLCite \textit{V. Nikolić} and \textit{B. Kaltenbacher}, Appl. Math. Optim. 76, No. 2, 261--301 (2017; Zbl 1378.49051) Full Text: DOI arXiv
Bartosz, Krzysztof; Denkowski, Zdzisław; Kalita, Piotr Sensitivity of optimal solutions to control problems for second order evolution subdifferential inclusions. (English) Zbl 1318.49025 Appl. Math. Optim. 71, No. 3, 379-410 (2015). MSC: 49J52 49J53 49K40 49J45 47H04 47H05 PDFBibTeX XMLCite \textit{K. Bartosz} et al., Appl. Math. Optim. 71, No. 3, 379--410 (2015; Zbl 1318.49025) Full Text: DOI
Leugering, G.; Novotny, A. A.; Perla Menzala, G.; Sokołowski, J. On shape optimization for an evolution coupled system. (English) Zbl 1242.49089 Appl. Math. Optim. 64, No. 3, 441-466 (2011). MSC: 49Q10 PDFBibTeX XMLCite \textit{G. Leugering} et al., Appl. Math. Optim. 64, No. 3, 441--466 (2011; Zbl 1242.49089) Full Text: DOI
Hermant, Audrey Homotopy algorithm for optimal control problems with a second-order state constraint. (English) Zbl 1201.49028 Appl. Math. Optim. 61, No. 1, 85-127 (2010). MSC: 49K40 49K15 34H05 PDFBibTeX XMLCite \textit{A. Hermant}, Appl. Math. Optim. 61, No. 1, 85--127 (2010; Zbl 1201.49028) Full Text: DOI
Costantini, C.; Gobet, E.; El Karoui, N. Boundary sensitivities for diffusion processes in time dependent domains. (English) Zbl 1109.49043 Appl. Math. Optimization 54, No. 2, 159-187 (2006). Reviewer: Fuhua Ling (Milpitas) MSC: 49Q12 60J50 35R35 60G40 PDFBibTeX XMLCite \textit{C. Costantini} et al., Appl. Math. Optim. 54, No. 2, 159--187 (2006; Zbl 1109.49043) Full Text: DOI
Durand, S.; Nikolova, M. Stability of the minimizers of least squares with a non-convex regularization. II: Global behavior. (English) Zbl 1136.49021 Appl. Math. Optimization 53, No. 3, 259-277 (2006). MSC: 49K40 49J52 90C31 94A08 94A12 PDFBibTeX XMLCite \textit{S. Durand} and \textit{M. Nikolova}, Appl. Math. Optim. 53, No. 3, 259--277 (2006; Zbl 1136.49021) Full Text: DOI
Bosch, Paul; Jourani, Abderrahim; Henrion, Rene Sufficient conditions for error bounds and applications. (English) Zbl 1176.90585 Appl. Math. Optim. 50, No. 2, 161-181 (2004). Reviewer: Walter Gómez Bofill (Temuco) MSC: 90C31 49J52 93B05 PDFBibTeX XMLCite \textit{P. Bosch} et al., Appl. Math. Optim. 50, No. 2, 161--181 (2004; Zbl 1176.90585) Full Text: DOI
Alvarez D., F.; Pérez C., J. M. A dynamical system associated with Newton’s method for parametric approximations of convex minimization problems. (English) Zbl 0905.34057 Appl. Math. Optimization 38, No. 2, 193-217 (1998). MSC: 34G20 90C25 34A12 34D05 90C31 PDFBibTeX XMLCite \textit{F. Alvarez D.} and \textit{J. M. Pérez C.}, Appl. Math. Optim. 38, No. 2, 193--217 (1998; Zbl 0905.34057) Full Text: DOI
Dziri, R.; Zolésio, J.-P. Shape-sensitivity analysis for nonlinear heat convection. (English) Zbl 0873.49030 Appl. Math. Optimization 35, No. 1, 1-20 (1997). Reviewer: G.Aniculăesei (Iaşi) MSC: 49Q12 35K55 PDFBibTeX XMLCite \textit{R. Dziri} and \textit{J. P. Zolésio}, Appl. Math. Optim. 35, No. 1, 1--20 (1997; Zbl 0873.49030) Full Text: DOI
Kiwiel, K. C. Finding normal solutions in piecewise linear programming. (English) Zbl 0838.90094 Appl. Math. Optimization 32, No. 3, 235-254 (1995). MSC: 90C25 90C20 49K40 65K05 PDFBibTeX XMLCite \textit{K. C. Kiwiel}, Appl. Math. Optim. 32, No. 3, 235--254 (1995; Zbl 0838.90094) Full Text: DOI
Yezza, A. Sensitivity, controllability, and necessary conditions of optimal control problems governed by integral equations. (English) Zbl 0841.49004 Appl. Math. Optimization 32, No. 1, 73-97 (1995). Reviewer: P.Loewen (Bath) MSC: 49J22 49K22 49K40 93B35 PDFBibTeX XMLCite \textit{A. Yezza}, Appl. Math. Optim. 32, No. 1, 73--97 (1995; Zbl 0841.49004) Full Text: DOI
Nguyen Dong Yen Hölder continuity of solutions to a parametric variational inequality. (English) Zbl 0821.49011 Appl. Math. Optimization 31, No. 3, 245-255 (1995). Reviewer: M.A.Noor (Riyadh) MSC: 49J40 49K40 PDFBibTeX XMLCite \textit{Nguyen Dong Yen}, Appl. Math. Optim. 31, No. 3, 245--255 (1995; Zbl 0821.49011) Full Text: DOI
Rousselet, Bernard; Chenais, Denise Continuité et différentiabilité d’éléments propres: application à l’optimisation de structures. (Continuity and differentiability of eigen-elements: Application to the optimization of structures). (French) Zbl 0741.73029 Appl. Math. Optimization 22, No. 1, 27-59 (1990). Reviewer: J.Lovíšek (Bratislava) MSC: 74P99 74M05 49Q12 49R50 74K10 74S30 74P10 PDFBibTeX XMLCite \textit{B. Rousselet} and \textit{D. Chenais}, Appl. Math. Optim. 22, No. 1, 27--59 (1990; Zbl 0741.73029) Full Text: DOI
Malanowski, Kazimierz Sensitivity analysis of optimization problems in Hilbert space with application to optimal control. (English) Zbl 0682.49029 Appl. Math. Optimization 21, No. 1, 1-20 (1990). MSC: 49K40 49K27 49K15 49J52 46G05 PDFBibTeX XMLCite \textit{K. Malanowski}, Appl. Math. Optim. 21, No. 1, 1--20 (1990; Zbl 0682.49029) Full Text: DOI
Shapiro, Alexander Perturbation theory of nonlinear programs when the set of optimal solutions is not a singleton. (English) Zbl 0654.90083 Appl. Math. Optimization 18, No. 3, 215-229 (1988). Reviewer: L.Grygarova MSC: 90C31 49M37 90C30 PDFBibTeX XMLCite \textit{A. Shapiro}, Appl. Math. Optim. 18, No. 3, 215--229 (1988; Zbl 0654.90083) Full Text: DOI
Sokołowski, Jan Differential stability of solutions to constrained optimization problems. (English) Zbl 0572.49012 Appl. Math. Optimization 13, 97-115 (1985). Reviewer: K.Malanowski MSC: 49K40 49J50 49K20 46C99 52A07 46G05 93B35 93C20 93C05 PDFBibTeX XMLCite \textit{J. Sokołowski}, Appl. Math. Optim. 13, 97--115 (1985; Zbl 0572.49012) Full Text: DOI