Ouaziz, Abdesslam; Aberqi, Ahmed Infinitely many solutions to a Kirchhoff-type equation involving logarithmic nonlinearity via Morse’s theory. (English) Zbl 07803274 Bol. Soc. Mat. Mex., III. Ser. 30, No. 1, Paper No. 10, 21 p. (2024). MSC: 14F35 35R11 58E05 49J35 35J65 PDFBibTeX XMLCite \textit{A. Ouaziz} and \textit{A. Aberqi}, Bol. Soc. Mat. Mex., III. Ser. 30, No. 1, Paper No. 10, 21 p. (2024; Zbl 07803274) Full Text: DOI
Anuprienko, Denis; Svitelman, Valentina Explaining breakthrough behaviour in shale rock: influence of capillary effects and geomechanics. (English) Zbl 07776549 Russ. J. Numer. Anal. Math. Model. 38, No. 6, 341-351 (2023). MSC: 65M08 65M06 65N08 65H20 49K40 76S05 76N15 74L10 86A05 35Q86 76M12 76M20 35Q35 PDFBibTeX XMLCite \textit{D. Anuprienko} and \textit{V. Svitelman}, Russ. J. Numer. Anal. Math. Model. 38, No. 6, 341--351 (2023; Zbl 07776549) Full Text: DOI
Cots, Olivier; Gergaud, Joseph; Goubinat, Damien; Wembe, Boris Singular versus boundary arcs for aircraft trajectory optimization in climbing phase. (English) Zbl 1514.49013 ESAIM, Math. Model. Numer. Anal. 57, No. 2, 817-839 (2023). MSC: 49K15 49M05 49S05 93B27 70Q05 PDFBibTeX XMLCite \textit{O. Cots} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 2, 817--839 (2023; Zbl 1514.49013) Full Text: DOI arXiv
Hoffmann, Matthias K.; Esterhuizen, Willem; Worthmann, Karl; Flaßkamp, Kathrin Path Planning for Concentric Tube Robots: a Toolchain with Application to Stereotactic Neurosurgery. arXiv:2211.15206 Preprint, arXiv:2211.15206 [math.OC] (2022). MSC: 49M20 65H20 92C50 70E60 34H05 BibTeX Cite \textit{M. K. Hoffmann} et al., ``Path Planning for Concentric Tube Robots: a Toolchain with Application to Stereotactic Neurosurgery'', Preprint, arXiv:2211.15206 [math.OC] (2022) Full Text: arXiv OA License
Chern, Albert; Knöppel, Felix; Pedit, Franz; Pinkall, Ulrich; Schröder, Peter Finding conformal and isometric immersions of surfaces. (English) Zbl 1493.53009 Hoffmann, Tim (ed.) et al., Minimal surfaces: integrable systems and visualisation. M:iv workshops, 2016–19. Cham: Springer. Springer Proc. Math. Stat. 349, 13-33 (2021). Reviewer: Gabriel Teodor Pripoae (Bucureşti) MSC: 53A07 49Q10 57R42 PDFBibTeX XMLCite \textit{A. Chern} et al., Springer Proc. Math. Stat. 349, 13--33 (2021; Zbl 1493.53009) Full Text: DOI arXiv
Kounta, Moussa; Dawson, Nathan J. Linear quadratic Gaussian homing for Markov processes with regime switching and applications to controlled population growth/decay. (English) Zbl 1475.93117 Methodol. Comput. Appl. Probab. 23, No. 3, 1155-1172 (2021). MSC: 93E20 49L25 49N10 60G40 60J20 PDFBibTeX XMLCite \textit{M. Kounta} and \textit{N. J. Dawson}, Methodol. Comput. Appl. Probab. 23, No. 3, 1155--1172 (2021; Zbl 1475.93117) Full Text: DOI
Liu, Lulu; Keyes, David E. Approximate error bounds on solutions of nonlinearly preconditioned PDEs. (English) Zbl 1469.49028 SIAM J. Sci. Comput. 43, No. 4, A2526-A2554 (2021). MSC: 49M15 65H10 65H20 65N15 65N22 PDFBibTeX XMLCite \textit{L. Liu} and \textit{D. E. Keyes}, SIAM J. Sci. Comput. 43, No. 4, A2526--A2554 (2021; Zbl 1469.49028) Full Text: DOI
Ali, Akram; Mofarreh, Fatemah; Ozel, Cenap; Othman, Wan Ainun Mior Homology of warped product submanifolds in the unit sphere and its applications. (English) Zbl 07811498 Int. J. Geom. Methods Mod. Phys. 17, No. 8, Article ID 2050121, 16 p. (2020). MSC: 53C42 49Q15 55N25 53C65 53C40 53C15 PDFBibTeX XMLCite \textit{A. Ali} et al., Int. J. Geom. Methods Mod. Phys. 17, No. 8, Article ID 2050121, 16 p. (2020; Zbl 07811498) Full Text: DOI
Saghamanesh, Mohammadreza; Taheri, Ehsan; Baoyin, Hexi Interplanetary gravity-assist fuel-optimal trajectory optimization with planetary and Solar radiation pressure perturbations. (English) Zbl 1448.70087 Celest. Mech. Dyn. Astron. 132, No. 2, Paper No. 16, 21 p. (2020). MSC: 70P05 49N90 49M05 49K15 PDFBibTeX XMLCite \textit{M. Saghamanesh} et al., Celest. Mech. Dyn. Astron. 132, No. 2, Paper No. 16, 21 p. (2020; Zbl 1448.70087) Full Text: DOI
Vladimirov, Igor G.; Petersen, Ian R. A homotopy approach to coherent quantum LQG control synthesis using discounted performance criteria. arXiv:2002.02443 Preprint, arXiv:2002.02443 [eess.SY] (2020). MSC: 81Q93 81S25 81S05 81S22 81P16 81Q10 60G15 93E20 49N35 93B52 49K15 65H20 BibTeX Cite \textit{I. G. Vladimirov} and \textit{I. R. Petersen}, ``A homotopy approach to coherent quantum LQG control synthesis using discounted performance criteria'', Preprint, arXiv:2002.02443 [eess.SY] (2020) Full Text: arXiv OA License
Forero, Wilson; Montañez, Reinaldo Structure semicoelevator for semitopological categories. (English) Zbl 07802851 Bol. Mat. (N.S.) 26, No. 1, 51-63 (2019). MSC: 62F15 49N45 62-08 65N21 68T05 55U40 18B30 PDFBibTeX XMLCite \textit{W. Forero} and \textit{R. Montañez}, Bol. Mat. (N.S.) 26, No. 1, 51--63 (2019; Zbl 07802851) Full Text: Link
Bozântan, Andrei; Berinde, Vasile A comparative study of the PL homotopy and BFGS methods for some nonsmooth optimization problems. (English) Zbl 1474.49056 Creat. Math. Inform. 28, No. 2, 97-104 (2019). MSC: 49M15 65K10 49J52 PDFBibTeX XMLCite \textit{A. Bozântan} and \textit{V. Berinde}, Creat. Math. Inform. 28, No. 2, 97--104 (2019; Zbl 1474.49056) Full Text: Link Link
Argyros, Ioannis K.; George, Santhosh Local convergence comparison between two novel sixth order methods for solving equations. (English) Zbl 1439.65070 Ann. Univ. Paedagog. Crac., Stud. Math. 277(18), 5-19 (2019). MSC: 65H20 65H10 49M15 65D10 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Ann. Univ. Paedagog. Crac., Stud. Math. 277(18), 5--19 (2019; Zbl 1439.65070) Full Text: DOI
Alipour, M.; Vali, M. A.; Borzabadi, A. H. A hybrid parametrization approach for a class of nonlinear optimal control problems. (English) Zbl 1439.49041 Numer. Algebra Control Optim. 9, No. 4, 493-506 (2019). MSC: 49K21 65K10 PDFBibTeX XMLCite \textit{M. Alipour} et al., Numer. Algebra Control Optim. 9, No. 4, 493--506 (2019; Zbl 1439.49041) Full Text: DOI
Qin, Tinghua An adaptive pseudospectral method combined with homotopy method for solving optimal control problems. (Chinese. English summary) Zbl 1449.49028 Acta Autom. Sin. 45, No. 8, 1579-1585 (2019). MSC: 49M37 65K10 PDFBibTeX XMLCite \textit{T. Qin}, Acta Autom. Sin. 45, No. 8, 1579--1585 (2019; Zbl 1449.49028) Full Text: DOI
Olivier, Antoine; Pouchol, Camille Combination of direct methods and homotopy in numerical optimal control: application to the optimization of chemotherapy in cancer. (English) Zbl 1416.49024 J. Optim. Theory Appl. 181, No. 2, 479-503 (2019). MSC: 49M05 49M25 92C50 49S05 PDFBibTeX XMLCite \textit{A. Olivier} and \textit{C. Pouchol}, J. Optim. Theory Appl. 181, No. 2, 479--503 (2019; Zbl 1416.49024) Full Text: DOI arXiv
Morris, Charles; Taheri, Ali On the uniqueness and monotonicity of energy minimisers in the homotopy classes of incompressible mappings and related problems. (English) Zbl 1410.49001 J. Math. Anal. Appl. 473, No. 1, 1-26 (2019). MSC: 49J10 35A15 PDFBibTeX XMLCite \textit{C. Morris} and \textit{A. Taheri}, J. Math. Anal. Appl. 473, No. 1, 1--26 (2019; Zbl 1410.49001) Full Text: DOI Link
Yavuz, M.; Özdemir, N. A different approach to the European option pricing model with new fractional operator. (English) Zbl 1405.91658 Math. Model. Nat. Phenom. 13, No. 1, Paper No. 12, 12 p. (2018). MSC: 91G20 91G80 35R11 35Q91 49M27 PDFBibTeX XMLCite \textit{M. Yavuz} and \textit{N. Özdemir}, Math. Model. Nat. Phenom. 13, No. 1, Paper No. 12, 12 p. (2018; Zbl 1405.91658) Full Text: DOI
Hao, Wenrui; Harlim, John An equation-by-equation method for solving the multidimensional moment constrained maximum entropy problem. (English) Zbl 1409.65034 Commun. Appl. Math. Comput. Sci. 13, No. 2, 189-214 (2018). Reviewer: José Manuel Gutiérrez Jimenez (Logrono) MSC: 65H10 65H20 94A17 49M15 PDFBibTeX XMLCite \textit{W. Hao} and \textit{J. Harlim}, Commun. Appl. Math. Comput. Sci. 13, No. 2, 189--214 (2018; Zbl 1409.65034) Full Text: DOI arXiv
Wu, Yue; He, Ji-Huan A remark on Samuelson’s variational principle in economics. (English) Zbl 1408.91135 Appl. Math. Lett. 84, 143-147 (2018). Reviewer: Karel Zimmermann (Praha) MSC: 91B50 49N90 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{J.-H. He}, Appl. Math. Lett. 84, 143--147 (2018; Zbl 1408.91135) Full Text: DOI
Bringmann, Bjoern; Cremers, Daniel; Krahmer, Felix; Moeller, Michael The homotopy method revisited: computing solution paths of \(\ell_1\)-regularized problems. (English) Zbl 1391.49072 Math. Comput. 87, No. 313, 2343-2364 (2018). MSC: 49N60 94A12 93E20 49N45 90C25 62J07 PDFBibTeX XMLCite \textit{B. Bringmann} et al., Math. Comput. 87, No. 313, 2343--2364 (2018; Zbl 1391.49072) Full Text: DOI arXiv
Lou, Xuyang; Swamy, M. N. S. A new approach to optimal control of conductance-based spiking neurons. (English) Zbl 1441.92008 Neural Netw. 96, 128-136 (2017). MSC: 92C20 49K20 93C10 PDFBibTeX XMLCite \textit{X. Lou} and \textit{M. N. S. Swamy}, Neural Netw. 96, 128--136 (2017; Zbl 1441.92008) Full Text: DOI Link
Jia, Wenjuan; He, Xiqin; Guo, Liangdong The optimal homotopy analysis method for solving linear optimal control problems. (English) Zbl 1446.49026 Appl. Math. Modelling 45, 865-880 (2017). MSC: 49M99 49K15 49M20 PDFBibTeX XMLCite \textit{W. Jia} et al., Appl. Math. Modelling 45, 865--880 (2017; Zbl 1446.49026) Full Text: DOI
Alipour, M.; Vali, M. A.; Borzabadi, A. H. A direct approach for approximate optimal control of integro-differential equations based on homotopy analysis and parametrization method. (English) Zbl 1400.49038 IMA J. Math. Control Inf. 34, No. 2, 611-630 (2017). MSC: 49M30 34A45 PDFBibTeX XMLCite \textit{M. Alipour} et al., IMA J. Math. Control Inf. 34, No. 2, 611--630 (2017; Zbl 1400.49038) Full Text: DOI
Cots, Olivier Geometric and numerical methods for a state constrained minimum time control problem of an electric vehicle. (English) Zbl 1379.49025 ESAIM, Control Optim. Calc. Var. 23, No. 4, 1715-1749 (2017). MSC: 49M05 49K15 90C90 80M50 PDFBibTeX XMLCite \textit{O. Cots}, ESAIM, Control Optim. Calc. Var. 23, No. 4, 1715--1749 (2017; Zbl 1379.49025) Full Text: DOI arXiv
Morris, C.; Taheri, A. Twist maps as energy minimisers in homotopy classes: symmetrisation and the coarea formula. (English) Zbl 1376.49019 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 152, 250-275 (2017). MSC: 49J45 49J10 58E05 PDFBibTeX XMLCite \textit{C. Morris} and \textit{A. Taheri}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 152, 250--275 (2017; Zbl 1376.49019) Full Text: DOI arXiv Link
Ganjefar, Soheil; Rezaei, Sara Modified homotopy perturbation method for optimal control problems using the Padé approximant. (English) Zbl 1471.49019 Appl. Math. Modelling 40, No. 15-16, 7062-7081 (2016). MSC: 49M05 49K15 49L20 65L99 PDFBibTeX XMLCite \textit{S. Ganjefar} and \textit{S. Rezaei}, Appl. Math. Modelling 40, No. 15--16, 7062--7081 (2016; Zbl 1471.49019) Full Text: DOI
Jafari, Hossein; Ghasempour, Saber; Baleanu, Dumitru On comparison between iterative methods for solving nonlinear optimal control problems. (English) Zbl 1366.93256 J. Vib. Control 22, No. 9, 2281-2287 (2016). MSC: 93C10 49K10 49M37 49L20 PDFBibTeX XMLCite \textit{H. Jafari} et al., J. Vib. Control 22, No. 9, 2281--2287 (2016; Zbl 1366.93256) Full Text: DOI
Cai, Wei-Wei; Yang, Le-Ping; Zhu, Yan-Wei Bang-bang optimal control for differentially flat systems using mapped pseudospectral method and analytic homotopic approach. (English) Zbl 1353.49044 Optim. Control Appl. Methods 37, No. 6, 1217-1235 (2016). MSC: 49M30 49J30 49J15 49N90 34H05 PDFBibTeX XMLCite \textit{W.-W. Cai} et al., Optim. Control Appl. Methods 37, No. 6, 1217--1235 (2016; Zbl 1353.49044) Full Text: DOI
Brinkhuis, J. Inverse functions and existence principles. (English. Russian original) Zbl 1352.49019 J. Math. Sci., New York 218, No. 5, 572-580 (2016); translation from Fundam. Prikl. Mat. 19, No. 5, 35-47 (2014). MSC: 49J99 49J45 49K21 26B10 PDFBibTeX XMLCite \textit{J. Brinkhuis}, J. Math. Sci., New York 218, No. 5, 572--580 (2016; Zbl 1352.49019); translation from Fundam. Prikl. Mat. 19, No. 5, 35--47 (2014) Full Text: DOI
Zhu, Jiamin; Trélat, Emmanuel; Cerf, Max Planar tilting maneuver of a spacecraft: singular arcs in the minimum time problem and chattering. (English) Zbl 1347.49038 Discrete Contin. Dyn. Syst., Ser. B 21, No. 4, 1347-1388 (2016). MSC: 49K15 49K30 49J15 49J30 49M37 49N90 65K05 65H20 PDFBibTeX XMLCite \textit{J. Zhu} et al., Discrete Contin. Dyn. Syst., Ser. B 21, No. 4, 1347--1388 (2016; Zbl 1347.49038) Full Text: DOI arXiv
Jung, Y. M.; Yun, S. A coordinate descent homotopy method for linearly constrained nonsmooth convex minimization. (English) Zbl 1343.49054 Optim. Methods Softw. 31, No. 2, 342-358 (2016). Reviewer: Guy Jumarie (Montréal) MSC: 49M37 49M27 90C25 90C30 90C06 65K05 PDFBibTeX XMLCite \textit{Y. M. Jung} and \textit{S. Yun}, Optim. Methods Softw. 31, No. 2, 342--358 (2016; Zbl 1343.49054) Full Text: DOI
Dong, Li; Yu, Bo; Zhao, Guohui A spline smoothing homotopy method for nonconvex nonlinear programming. (English) Zbl 1338.90387 Optimization 65, No. 4, 729-749 (2016). MSC: 90C30 49M37 PDFBibTeX XMLCite \textit{L. Dong} et al., Optimization 65, No. 4, 729--749 (2016; Zbl 1338.90387) Full Text: DOI
Zhu, Jiamin; Treĺat, Emmanuel; Cerf, Max Minimum time control of the rocket attitude reorientation associated with orbit dynamics. (English) Zbl 1338.49046 SIAM J. Control Optim. 54, No. 1, 391-422 (2016). Reviewer: Costică Moroşanu (Iaşi) MSC: 49K15 49M05 49M37 49N90 90C30 65K10 65K05 65H20 70P05 PDFBibTeX XMLCite \textit{J. Zhu} et al., SIAM J. Control Optim. 54, No. 1, 391--422 (2016; Zbl 1338.49046) Full Text: DOI arXiv
Asfaw, Teffera M. A new topological degree theory for pseudomonotone perturbations of the sum of two maximal monotone operators and applications. (English) Zbl 1344.47041 J. Math. Anal. Appl. 434, No. 1, 967-1006 (2016). MSC: 47H11 47H04 47H05 47J20 49J40 PDFBibTeX XMLCite \textit{T. M. Asfaw}, J. Math. Anal. Appl. 434, No. 1, 967--1006 (2016; Zbl 1344.47041) Full Text: DOI
Rybakov, Yuriĭ Petrovich Axially-symmetric topological configurations in the Skyrme and Faddeev chiral models. (English) Zbl 1463.35023 Eurasian Math. J. 6, No. 2, 82-89 (2015). MSC: 35A15 35B06 35B07 49J45 55Q25 PDFBibTeX XMLCite \textit{Y. P. Rybakov}, Eurasian Math. J. 6, No. 2, 82--89 (2015; Zbl 1463.35023) Full Text: MNR
Bozantan, Andrei; Berinde, Vasile A numerical study on the robustness and efficiency of the PL homotopy algorithm for solving unconstrained optimization problems. (English) Zbl 1399.65122 Creat. Math. Inform. 24, No. 2, 113-122 (2015). MSC: 65J15 49M15 49M30 PDFBibTeX XMLCite \textit{A. Bozantan} and \textit{V. Berinde}, Creat. Math. Inform. 24, No. 2, 113--122 (2015; Zbl 1399.65122)
Qu, Hongyan; Guan, Lihong; Wang, Mingming; Wang, Xiuyu Existence condition of a solution of general variational inequality problem. (Chinese. English summary) Zbl 1349.49013 J. Jilin Univ., Sci. 53, No. 6, 1197-1200 (2015). MSC: 49J40 90C33 PDFBibTeX XMLCite \textit{H. Qu} et al., J. Jilin Univ., Sci. 53, No. 6, 1197--1200 (2015; Zbl 1349.49013) Full Text: DOI
Shen, Hong-Xin; Casalino, Lorenzo; Li, Hai-Yang Adjoints estimation methods for impulsive Moon-to-Earth trajectories in the restricted three-body problem. (English) Zbl 1329.49079 Optim. Control Appl. Methods 36, No. 4, 463-474 (2015). MSC: 49N90 49M15 70P05 PDFBibTeX XMLCite \textit{H.-X. Shen} et al., Optim. Control Appl. Methods 36, No. 4, 463--474 (2015; Zbl 1329.49079) Full Text: DOI
Ninin, Jordan; Messine, Frédéric; Hansen, Pierre A reliable affine relaxation method for global optimization. (English) Zbl 1320.90065 4OR 13, No. 3, 247-277 (2015). MSC: 90C26 65H20 65G30 65G40 49M20 PDFBibTeX XMLCite \textit{J. Ninin} et al., 4OR 13, No. 3, 247--277 (2015; Zbl 1320.90065) Full Text: DOI HAL
Albano, Paolo On the cut locus of closed sets. (English) Zbl 1329.35110 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 125, 398-405 (2015). MSC: 35F21 26B25 49J52 55P10 PDFBibTeX XMLCite \textit{P. Albano}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 125, 398--405 (2015; Zbl 1329.35110) Full Text: DOI
Ayala, José Length minimising bounded curvature paths in homotopy classes. (English) Zbl 1321.49072 Topology Appl. 193, 140-151 (2015). MSC: 49Q10 55Q05 90C47 51E99 PDFBibTeX XMLCite \textit{J. Ayala}, Topology Appl. 193, 140--151 (2015; Zbl 1321.49072) Full Text: DOI arXiv
Barekat, Farzin; Osher, Stanley A time continuation based fast approximate algorithm for compressed sensing related optimization. (English) Zbl 1322.49050 Math. Comput. 84, No. 296, 2791-2822 (2015). MSC: 49M29 65K10 90C25 PDFBibTeX XMLCite \textit{F. Barekat} and \textit{S. Osher}, Math. Comput. 84, No. 296, 2791--2822 (2015; Zbl 1322.49050) Full Text: DOI arXiv
Fan, Xiaona; Gao, Furong; Xu, Tingtin Perturbation homotopy method for solving variational inequalities with general constraints on an unbounded set. (English) Zbl 1339.49008 Int. J. Appl. Math. Stat. 52, No. 7, 208-217 (2014). MSC: 49J40 90C33 90C30 65K15 PDFBibTeX XMLCite \textit{X. Fan} et al., Int. J. Appl. Math. Stat. 52, No. 7, 208--217 (2014; Zbl 1339.49008) Full Text: Link
Cannarsa, Piermarco Generalized gradient flow and singularities of the Riemannian distance function. (English) Zbl 1320.35009 Sémin. Laurent Schwartz, EDP Appl. 2012-2013, Exp. No. IX, 16 p. (2014). MSC: 35A21 26B25 49J52 55P10 35F21 PDFBibTeX XMLCite \textit{P. Cannarsa}, Sémin. Laurent Schwartz, EDP Appl. 2012--2013, Exp. No. IX, 16 p. (2014; Zbl 1320.35009) Full Text: DOI Link
Bozantan, Andrei; Berinde, Vasile About the implementation and some applications of the FIXPOINT software minipackag. (English) Zbl 1324.47093 Creat. Math. Inform. 23, No. 1, 41-50 (2014). MSC: 47H10 47J25 49M15 49M30 PDFBibTeX XMLCite \textit{A. Bozantan} and \textit{V. Berinde}, Creat. Math. Inform. 23, No. 1, 41--50 (2014; Zbl 1324.47093)
Beiranvand, Ali; Ivaz, Karim Solving the Stefan problem with kinetics. (English) Zbl 1333.35347 Comput. Methods Differ. Equ. 2, No. 1, 37-49 (2014). MSC: 35R35 74H10 49M27 70G75 80A22 PDFBibTeX XMLCite \textit{A. Beiranvand} and \textit{K. Ivaz}, Comput. Methods Differ. Equ. 2, No. 1, 37--49 (2014; Zbl 1333.35347) Full Text: Link
Wu, Xuzhong; Tang, Shengjing; Guo, Jie; Zhu, Dalin A homotopic approach applied to skip-entry trajectory optimization. (Chinese. English summary) Zbl 1313.49045 Trans. Beijing Inst. Technol. 34, No. 3, 221-225 (2014). MSC: 49N90 70P05 93C15 PDFBibTeX XMLCite \textit{X. Wu} et al., Trans. Beijing Inst. Technol. 34, No. 3, 221--225 (2014; Zbl 1313.49045)
Wang, Xiuyu; Jiang, Xingwu A homotopy method for solving the horizontal linear complementarity problem. (English) Zbl 1338.90418 Comput. Appl. Math. 33, No. 1, 1-11 (2014). Reviewer: Igor V. Konnov (Kazan) MSC: 90C33 49J45 90C31 PDFBibTeX XMLCite \textit{X. Wang} and \textit{X. Jiang}, Comput. Appl. Math. 33, No. 1, 1--11 (2014; Zbl 1338.90418) Full Text: DOI
Mehrpouya, M. A.; Shamsi, M.; Razzaghi, M. A combined adaptive control parametrization and homotopy continuation technique for the numerical solution of bang-bang optimal control problems. (English) Zbl 1302.49044 ANZIAM J. 56, No. 1, 48-65 (2014). MSC: 49M37 49J30 65H20 90C30 93C40 PDFBibTeX XMLCite \textit{M. A. Mehrpouya} et al., ANZIAM J. 56, No. 1, 48--65 (2014; Zbl 1302.49044) Full Text: DOI
Yang, Li; Yu, Bo; Xu, Qing A constraint shifting homotopy method for general non-linear programming. (English) Zbl 1291.49024 Optimization 63, No. 4, 585-600 (2014). MSC: 49M37 49M05 90C30 PDFBibTeX XMLCite \textit{L. Yang} et al., Optimization 63, No. 4, 585--600 (2014; Zbl 1291.49024) Full Text: DOI
Baxter, Mathew; van Gorder, Robert A.; Vajravelu, Kuppalapalle On the choice of auxiliary linear operator in the optimal homotopy analysis of the Cahn-Hilliard initial value problem. (English) Zbl 1293.65137 Numer. Algorithms 66, No. 2, 269-298 (2014). MSC: 65M99 65M12 65K10 49J20 35Q35 PDFBibTeX XMLCite \textit{M. Baxter} et al., Numer. Algorithms 66, No. 2, 269--298 (2014; Zbl 1293.65137) Full Text: DOI
Matinfar, M.; Saeidy, M. A new analytical method for solving a class of nonlinear optimal control problems. (English) Zbl 1290.49063 Optim. Control Appl. Methods 35, No. 3, 286-302 (2014). MSC: 49M30 49K15 93C10 93C15 PDFBibTeX XMLCite \textit{M. Matinfar} and \textit{M. Saeidy}, Optim. Control Appl. Methods 35, No. 3, 286--302 (2014; Zbl 1290.49063) Full Text: DOI
Dong, Li; Yu, Bo; Zhou, Zhengyong A constraint shifting spline smoothing homotopy method for general nonlinear programming. (English) Zbl 1310.90104 Pac. J. Optim. 10, No. 1, 37-51 (2014). MSC: 90C30 49M37 PDFBibTeX XMLCite \textit{L. Dong} et al., Pac. J. Optim. 10, No. 1, 37--51 (2014; Zbl 1310.90104) Full Text: Link
Yang, Fenlin; Chen, Ke; Yu, Bo; Fang, Donghui A relaxed fixed point method for a mean curvature-based denoising model. (English) Zbl 1284.49039 Optim. Methods Softw. 29, No. 2, 274-285 (2014). MSC: 49M30 68U10 94A08 47N10 PDFBibTeX XMLCite \textit{F. Yang} et al., Optim. Methods Softw. 29, No. 2, 274--285 (2014; Zbl 1284.49039) Full Text: DOI
Xiao, Y.; Xiong, H. J.; Yu, B. Truncated aggregate homotopy method for nonconvex nonlinear programming. (English) Zbl 1282.90209 Optim. Methods Softw. 29, No. 1, 160-176 (2014). MSC: 90C34 90C46 49J52 90C51 90C90 PDFBibTeX XMLCite \textit{Y. Xiao} et al., Optim. Methods Softw. 29, No. 1, 160--176 (2014; Zbl 1282.90209) Full Text: DOI
Saberi Nik, H.; Effati, S.; Motsa, S. S.; Shirazian, M. Spectral homotopy analysis method and its convergence for solving a class of nonlinear optimal control problems. (English) Zbl 1284.65080 Numer. Algorithms 65, No. 1, 171-194 (2014). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65K10 49J20 49M25 PDFBibTeX XMLCite \textit{H. Saberi Nik} et al., Numer. Algorithms 65, No. 1, 171--194 (2014; Zbl 1284.65080) Full Text: DOI
Shamsyeh Zahedi, Moosarreza; Saberi Nik, Hassan On homotopy analysis method applied to linear optimal control problems. (English) Zbl 1427.49035 Appl. Math. Modelling 37, No. 23, 9617-9629 (2013). MSC: 49M20 65L99 49N05 PDFBibTeX XMLCite \textit{M. Shamsyeh Zahedi} and \textit{H. Saberi Nik}, Appl. Math. Modelling 37, No. 23, 9617--9629 (2013; Zbl 1427.49035) Full Text: DOI
Trélat, Emmanuel Optimal control theory and some applications to aerospace problems. (English) Zbl 1364.49024 Latała, Rafał (ed.) et al., European Congress of Mathematics. Proceedings of the 6th ECM congress, Kraków, Poland, July 2–7 July, 2012. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-120-0/hbk). 707-726 (2013). MSC: 49K15 37N35 49M25 93B40 65H20 PDFBibTeX XMLCite \textit{E. Trélat}, in: European Congress of Mathematics. Proceedings of the 6th ECM congress, Kraków, Poland, July 2--7 July, 2012. Zürich: European Mathematical Society (EMS). 707--726 (2013; Zbl 1364.49024) Full Text: DOI Link
Lakestani, Mehrdad; Kazemian, Mahnaz Solving brachistochrone problem using homotopy analysis method. (English) Zbl 1340.49020 Acta Univ. Apulensis, Math. Inform. 33, 165-175 (2013). MSC: 49K15 49M30 PDFBibTeX XMLCite \textit{M. Lakestani} and \textit{M. Kazemian}, Acta Univ. Apulensis, Math. Inform. 33, 165--175 (2013; Zbl 1340.49020)
Lomadze, Vakhtang Duality in the behavioral systems theory. (English) Zbl 1319.93012 Automatica 49, No. 5, 1510-1514 (2013). MSC: 93B05 93B07 93C05 49N15 PDFBibTeX XMLCite \textit{V. Lomadze}, Automatica 49, No. 5, 1510--1514 (2013; Zbl 1319.93012) Full Text: DOI
Gao, Zhijie; Baoyin, Hexi Using homotopy method to solve bang-bang optimal control problems. (English) Zbl 1311.49076 Chinchuluun, Altannar (ed.) et al., Optimization, simulation, and control. New York, NY: Springer (ISBN 978-1-4614-5130-3/hbk; 978-1-4614-5131-0/ebook). Springer Optimization and Its Applications 76, 243-256 (2013). MSC: 49M30 49K30 49J30 PDFBibTeX XMLCite \textit{Z. Gao} and \textit{H. Baoyin}, Springer Optim. Appl. 76, 243--256 (2013; Zbl 1311.49076) Full Text: DOI
Bozantan, Andrei; Berinde, Vasile Applications of the PL homotopy algorithm for the computation of fixed points to unconstrained optimization problems. (English) Zbl 1289.47129 Creat. Math. Inform. 22, No. 1, 41-46 (2013). MSC: 47J25 49J40 65J15 PDFBibTeX XMLCite \textit{A. Bozantan} and \textit{V. Berinde}, Creat. Math. Inform. 22, No. 1, 41--46 (2013; Zbl 1289.47129)
Effati, Sohrab; Nik, Hassan Saberi; Shirazian, Mohammad An improvement to the homotopy perturbation method for solving the Hamilton-Jacobi-Bellman equation. (English) Zbl 1280.49035 IMA J. Math. Control Inf. 30, No. 4, 487-506 (2013). MSC: 49L20 49M30 93C73 PDFBibTeX XMLCite \textit{S. Effati} et al., IMA J. Math. Control Inf. 30, No. 4, 487--506 (2013; Zbl 1280.49035) Full Text: DOI Link
Akbarian, T.; Keyanpour, M. A new approach to the numerical solution of fractional order optimal control problems. (English) Zbl 1279.49020 Appl. Appl. Math. 8, No. 2, 523-534 (2013). MSC: 49M30 49J21 26A33 PDFBibTeX XMLCite \textit{T. Akbarian} and \textit{M. Keyanpour}, Appl. Appl. Math. 8, No. 2, 523--534 (2013; Zbl 1279.49020) Full Text: Link
Effati, Sohrab; Nik, Hassan Saberi; Shirazian, Mohammad Analytic-approximate solution for a class of nonlinear optimal control problems by homotopy analysis method. (English) Zbl 1275.49051 Asian-Eur. J. Math. 6, No. 2, Article ID 1350012, 22 p. (2013). MSC: 49M30 49J15 49J20 PDFBibTeX XMLCite \textit{S. Effati} et al., Asian-Eur. J. Math. 6, No. 2, Article ID 1350012, 22 p. (2013; Zbl 1275.49051) Full Text: DOI
Albano, P.; Cannarsa, P.; Nguyen, Khai T.; Sinestrari, C. Singular gradient flow of the distance function and homotopy equivalence. (English) Zbl 1270.35012 Math. Ann. 356, No. 1, 23-43 (2013). MSC: 35A21 26B25 49J52 55P10 58J35 PDFBibTeX XMLCite \textit{P. Albano} et al., Math. Ann. 356, No. 1, 23--43 (2013; Zbl 1270.35012) Full Text: DOI arXiv
Dinarvand, Saeed; Hosseini, Reza Optimal homotopy asymptotic method for convective-radiative cooling of a lumped system, and convective straight fin with temperature-dependent thermal conductivity. (English) Zbl 1262.35191 Afr. Mat. 24, No. 1, 103-116 (2013). MSC: 35Q79 35A25 34B15 35A24 49K15 PDFBibTeX XMLCite \textit{S. Dinarvand} and \textit{R. Hosseini}, Afr. Mat. 24, No. 1, 103--116 (2013; Zbl 1262.35191) Full Text: DOI
Yang, Fenlin; Chen, Ke; Yu, Bo Efficient homotopy solution and a convex combination of ROF and LLT models for image restoration. (English) Zbl 1264.35288 Int. J. Numer. Anal. Model. 9, No. 4, 907-927 (2012). MSC: 35R35 49J40 60G40 65D18 PDFBibTeX XMLCite \textit{F. Yang} et al., Int. J. Numer. Anal. Model. 9, No. 4, 907--927 (2012; Zbl 1264.35288) Full Text: Link
Caillau, J.-B.; Daoud, B. Minimum time control of the restricted three-body problem. (English) Zbl 1268.49023 SIAM J. Control Optim. 50, No. 6, 3178-3202 (2012). Reviewer: Paninjukunnath Achuthan (Kerala) MSC: 49K15 70Q05 PDFBibTeX XMLCite \textit{J. B. Caillau} and \textit{B. Daoud}, SIAM J. Control Optim. 50, No. 6, 3178--3202 (2012; Zbl 1268.49023) Full Text: DOI Link
Trélat, E. Optimal control and applications to aerospace: some results and challenges. (English) Zbl 1257.49019 J. Optim. Theory Appl. 154, No. 3, 713-758 (2012). MSC: 49K20 49M05 49M30 70M20 70P05 PDFBibTeX XMLCite \textit{E. Trélat}, J. Optim. Theory Appl. 154, No. 3, 713--758 (2012; Zbl 1257.49019) Full Text: DOI
Yang, Li; Yu, Bo; Xu, Qing A combined homotopy infeasible interior point method for nonconvex programming. (English) Zbl 1257.49032 Pac. J. Optim. 8, No. 1, 89-101 (2012). MSC: 49M37 90C30 PDFBibTeX XMLCite \textit{L. Yang} et al., Pac. J. Optim. 8, No. 1, 89--101 (2012; Zbl 1257.49032) Full Text: Link
Nik, Hassan Saberi; Effati, Sohrab; Shirazian, M. An approximate-analytical solution for the Hamilton-Jacobi-Bellman equation via homotopy perturbation method. (English) Zbl 1254.65107 Appl. Math. Modelling 36, No. 11, 5614-5623 (2012). MSC: 65M60 35Q93 49L20 PDFBibTeX XMLCite \textit{H. S. Nik} et al., Appl. Math. Modelling 36, No. 11, 5614--5623 (2012; Zbl 1254.65107) Full Text: DOI
Caillau, J.-B.; Cots, O.; Gergaud, J. Differential continuation for regular optimal control problems. (English) Zbl 1248.49025 Optim. Methods Softw. 27, No. 2, 177-196 (2012). MSC: 49K15 49-04 PDFBibTeX XMLCite \textit{J. B. Caillau} et al., Optim. Methods Softw. 27, No. 2, 177--196 (2012; Zbl 1248.49025) Full Text: DOI
Matinfar, M.; Saeidy, M.; Mahdavi, M.; Rezaei, M. Variational iteration method for exact solution of gas dynamic equation using He’s polynomials. (English) Zbl 1314.47107 Bull. Math. Anal. Appl. 3, No. 3, 50-55 (2011). MSC: 47J25 49S05 PDFBibTeX XMLCite \textit{M. Matinfar} et al., Bull. Math. Anal. Appl. 3, No. 3, 50--55 (2011; Zbl 1314.47107) Full Text: Link
Kourouma, Moussa; Tiba, Bi Zou Raymond Harmonic sections of a Riemannian foliation. (Sections harmoniques d’un feuilletage Riemannien.) (French. English summary) Zbl 1291.58014 Afr. Math. Ann. (AFMA) 2, 21-45 (2011). MSC: 58J35 53C21 53C12 49J53 58E20 PDFBibTeX XMLCite \textit{M. Kourouma} and \textit{B. Z. R. Tiba}, Afr. Math. Ann. (AFMA) 2, 21--45 (2011; Zbl 1291.58014)
Hermant, Audrey Optimal control of the atmospheric reentry of a space shuttle by a homotopy method. (English) Zbl 1272.49088 Optim. Control Appl. Methods 32, No. 6, 627-646 (2011). MSC: 49N90 49M30 70P05 34H05 PDFBibTeX XMLCite \textit{A. Hermant}, Optim. Control Appl. Methods 32, No. 6, 627--646 (2011; Zbl 1272.49088) Full Text: DOI
Lin, Fang Hua Topology of Sobolev mappings and associated variational problems. (English) Zbl 1259.49072 Bray, Hubert (ed.) et al., Surveys in geometric analysis and relativity. Dedicated to Richard Schoen in honor of his 60th birthday. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-230-5/pbk). Advanced Lectures in Mathematics (ALM) 20, 363-393 (2011). MSC: 49Q20 49Q05 49-02 35J50 58K15 PDFBibTeX XMLCite \textit{F. H. Lin}, Adv. Lect. Math. (ALM) 20, 363--393 (2011; Zbl 1259.49072)
Ezzati, R.; Saleki, F. On the construction of new iterative methods with fourth-order convergence by combining previous methods. (English) Zbl 1246.49027 Int. Math. Forum 6, No. 25-28, 1319-1326 (2011). MSC: 49M15 65H05 PDFBibTeX XMLCite \textit{R. Ezzati} and \textit{F. Saleki}, Int. Math. Forum 6, No. 25--28, 1319--1326 (2011; Zbl 1246.49027) Full Text: Link
Effati, S.; Saberi Nik, H. Solving a class of linear and non-linear optimal control problems by homotopy perturbation method. (English) Zbl 1251.49037 IMA J. Math. Control Inf. 28, No. 4, 539-553 (2011). MSC: 49M30 49K15 93C73 PDFBibTeX XMLCite \textit{S. Effati} and \textit{H. Saberi Nik}, IMA J. Math. Control Inf. 28, No. 4, 539--553 (2011; Zbl 1251.49037) Full Text: DOI
Vyasarayani, Chandrika P.; Uchida, Thomas; Carvalho, Ashwin; McPhee, John Parameter identification in dynamic systems using the homotopy optimization approach. (English) Zbl 1239.93029 Multibody Syst. Dyn. 26, No. 4, 411-424 (2011). Reviewer: Boris Ivanovich Konosevich (Donetsk) MSC: 93B30 49M30 70E55 PDFBibTeX XMLCite \textit{C. P. Vyasarayani} et al., Multibody Syst. Dyn. 26, No. 4, 411--424 (2011; Zbl 1239.93029) Full Text: DOI Link
Grabowski, Janusz; Jóźwikowski, Michał Pontryagin maximum principle on almost Lie algebroids. (English) Zbl 1228.49017 SIAM J. Control Optim. 49, No. 3, 1306-1357 (2011). MSC: 49K15 49K99 93B25 17B66 22A22 PDFBibTeX XMLCite \textit{J. Grabowski} and \textit{M. Jóźwikowski}, SIAM J. Control Optim. 49, No. 3, 1306--1357 (2011; Zbl 1228.49017) Full Text: DOI arXiv
Rostalski, Philipp; Fotiou, Ioannis A.; Bates, Daniel J.; Beccuti, A. Giovanni; Morari, Manfred Numerical algebraic geometry for optimal control applications. (English) Zbl 1228.49018 SIAM J. Optim. 21, No. 2, 417-437 (2011). MSC: 49K15 93C40 65H10 65H20 49N90 34H05 65K10 49M30 PDFBibTeX XMLCite \textit{P. Rostalski} et al., SIAM J. Optim. 21, No. 2, 417--437 (2011; Zbl 1228.49018) Full Text: DOI Link
Pankka, Pekka; Rajala, Kai Quasiconformal extension fields. (English) Zbl 1233.30006 Calc. Var. Partial Differ. Equ. 42, No. 1-2, 73-91 (2011). Reviewer: Vasily A. Chernecky (Odessa) MSC: 30-06 35J60 46E35 49J52 57M12 30C65 PDFBibTeX XMLCite \textit{P. Pankka} and \textit{K. Rajala}, Calc. Var. Partial Differ. Equ. 42, No. 1--2, 73--91 (2011; Zbl 1233.30006) Full Text: DOI arXiv
Hoffman, Kathleen A.; Seidman, Thomas I. A variational characterization of a hyperelastic rod with hard self-contact. (English) Zbl 1402.74064 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 16, 5388-5401 (2011). MSC: 74K10 49J05 49K05 74G65 PDFBibTeX XMLCite \textit{K. A. Hoffman} and \textit{T. I. Seidman}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 16, 5388--5401 (2011; Zbl 1402.74064) Full Text: DOI
Jin, Jianlu; Wang, Xiuyu; He, Li; Liu, Qinghuai Aggregate homotopy interior-point method for constrained sequential max-min problems. (Chinese. English summary) Zbl 1240.49038 Acta Math. Appl. Sin. 33, No. 5, 792-804 (2010). MSC: 49K35 90C47 90C51 PDFBibTeX XMLCite \textit{J. Jin} et al., Acta Math. Appl. Sin. 33, No. 5, 792--804 (2010; Zbl 1240.49038)
Kazeminia, M.; Soleimani-Amiri, S.; Zahedi, S. A. Exact and numerical solutions for nonlinear higher order modified KdV equations by using variational iteration method. (English) Zbl 1218.35212 Adv. Stud. Theor. Phys. 4, No. 9-12, 437-447 (2010). MSC: 35Q53 49J40 35C08 35B20 PDFBibTeX XMLCite \textit{M. Kazeminia} et al., Adv. Stud. Theor. Phys. 4, No. 9--12, 437--447 (2010; Zbl 1218.35212) Full Text: Link
Fornasier, Massimo Numerical methods for sparse recovery. (English) Zbl 1208.65089 Fornasier, Massimo (ed.), Theoretical foundations and numerical methods for sparse recovery. Papers based on the presentations of the summer school “Theoretical foundations and numerical methods for sparse recovery”, Vienna, Austria, August 31 – September 4, 2009. Berlin: Walter de Gruyter (ISBN 978-3-11-022614-0/hbk; 978-3-11-022615-7/ebook). Radon Series on Computational and Applied Mathematics 9, 93-200 (2010). MSC: 65K10 90C25 52A41 49M30 49J27 49M27 PDFBibTeX XMLCite \textit{M. Fornasier}, Radon Ser. Comput. Appl. Math. 9, 93--200 (2010; Zbl 1208.65089)
Matinfar, M.; Raeisi, Z.; Mahdavi, M. Variational homotopy perturbation method for the Fisher’s equation. (English) Zbl 1208.35156 Int. J. Nonlinear Sci. 9, No. 3, 374-378 (2010). MSC: 35Q92 92C45 65M70 49J40 PDFBibTeX XMLCite \textit{M. Matinfar} et al., Int. J. Nonlinear Sci. 9, No. 3, 374--378 (2010; Zbl 1208.35156)
Bonilla, Julián; Diehl, Moritz; Logist, Filip; De Moor, Bart; Van Impe, Jan F. M. A convexity-based homotopy method for nonlinear optimization in model predictive control. (English) Zbl 1202.49035 Optim. Control Appl. Methods 31, No. 5, 393-414 (2010). MSC: 49M30 90C25 34H05 PDFBibTeX XMLCite \textit{J. Bonilla} et al., Optim. Control Appl. Methods 31, No. 5, 393--414 (2010; Zbl 1202.49035) Full Text: DOI Link
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
Melara, L. A.; Kearsley, A. J. On the Kantorovich theorem and the regularization of total variation denoising problems. (English) Zbl 1194.49039 Rocky Mt. J. Math. 40, No. 2, 595-607 (2010). MSC: 49M15 49N60 94A08 68U10 PDFBibTeX XMLCite \textit{L. A. Melara} and \textit{A. J. Kearsley}, Rocky Mt. J. Math. 40, No. 2, 595--607 (2010; Zbl 1194.49039) Full Text: DOI
Pascali, Dan On variational inequalities involving mappings of type (S). (English) Zbl 1182.49009 Pardalos, Panos M. (ed.) et al., Nonlinear analysis and variational problems. In Honor of George Isac. Berlin: Springer (ISBN 978-1-4419-0157-6/hbk; 978-1-4419-0158-3/ebook). Springer Optimization and Its Applications 35, 441-449 (2010). MSC: 49J40 47J20 47N10 PDFBibTeX XMLCite \textit{D. Pascali}, Springer Optim. Appl. 35, 441--449 (2010; Zbl 1182.49009) Full Text: DOI
Benedetti, Bruno WITHDRAWN: Discrete Morse Theory Is At Least As Perfect As Morse Theory. arXiv:1010.0548 Preprint, arXiv:1010.0548 [math.DG] (2010); retraction notice ibid. MSC: 49Q99 57R05 57Q15 52B22 57N65 57R65 57R60 BibTeX Cite \textit{B. Benedetti}, ``WITHDRAWN: Discrete Morse Theory Is At Least As Perfect As Morse Theory'', Preprint, arXiv:1010.0548 [math.DG] (2010); retraction notice ibid. Full Text: arXiv OA License
Kohno, Toshitake Geometry of iterated integrals. (Hanpuku sekibun no kikagaku). (Japanese) Zbl 1305.26004 Tokyo: Springer (ISBN 978-4-431-70669-4). vii, 295 p. (2009). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 26-01 26B20 28A25 49Q15 PDFBibTeX XMLCite \textit{T. Kohno}, Geometry of iterated integrals. (Hanpuku sekibun no kikagaku) (Japanese). Tokyo: Springer (2009; Zbl 1305.26004)
Gräser, Carsten; Kornhuber, Ralf Nonsmooth Newton methods for set-valued saddle point problems. (English) Zbl 1190.49035 SIAM J. Numer. Anal. 47, No. 2, 1251-1273 (2009). MSC: 49M15 49M29 65H20 65N22 90C46 PDFBibTeX XMLCite \textit{C. Gräser} and \textit{R. Kornhuber}, SIAM J. Numer. Anal. 47, No. 2, 1251--1273 (2009; Zbl 1190.49035) Full Text: DOI
Zhulin, S. S. Parametric continuation method with correction and its applications. (English. Russian original) Zbl 1181.65097 Comput. Math. Model. 20, No. 3, 286-317 (2009); translation from Prikl. Mat. Inf. 30, 55-94 (2008). Reviewer: Iulian Coroian (Baia Mare) MSC: 65K10 65H20 49J15 49M15 PDFBibTeX XMLCite \textit{S. S. Zhulin}, Comput. Math. Model. 20, No. 3, 286--317 (2009; Zbl 1181.65097); translation from Prikl. Mat. Inf. 30, 55--94 (2008) Full Text: DOI
Crampin, M.; Saunders, D. J. Homotopy operators for the variational bicomplex, representations of the Euler-Lagrange complex, and the Helmholtz-Sonin conditions. (English) Zbl 1177.49056 Lobachevskii J. Math. 30, No. 2, 107-123 (2009). MSC: 49N45 58A20 58E30 PDFBibTeX XMLCite \textit{M. Crampin} and \textit{D. J. Saunders}, Lobachevskii J. Math. 30, No. 2, 107--123 (2009; Zbl 1177.49056) Full Text: DOI
Lomadze, Vakhtang How to define the dual of a higher-dimensional linear system. (English) Zbl 1171.93008 Linear Algebra Appl. 431, No. 11, 2084-2101 (2009). MSC: 93B05 93B07 93C05 49N15 PDFBibTeX XMLCite \textit{V. Lomadze}, Linear Algebra Appl. 431, No. 11, 2084--2101 (2009; Zbl 1171.93008) Full Text: DOI
Ganji, D. D.; Jamshidi, N.; Ganji, Z. Z. HPM and VIM methods for finding the exact solutions of the nonlinear dispersive equations and seventh-order Sawada–Kotera equation. (English) Zbl 1165.35437 Int. J. Mod. Phys. B 23, No. 1, 39-52 (2009). MSC: 35Q35 35Q80 49S05 35Q60 PDFBibTeX XMLCite \textit{D. D. Ganji} et al., Int. J. Mod. Phys. B 23, No. 1, 39--52 (2009; Zbl 1165.35437) Full Text: DOI