Lakshmikantham, V.; Leela, S. Advances in stability theory of Lyapunov: Old and new. (English) Zbl 1057.34046 Martynyuk, A. A. (ed.), Advances in stability theory at the end of the 20th century. London: Taylor & Francis (ISBN 0-415-26962-8/hbk). Stab. Control Theory Methods Appl. 13, 121-134 (2003). Reviewer: Laszlo Hatvani (Szeged) MSC: 34D20 34-02 PDFBibTeX XMLCite \textit{V. Lakshmikantham} and \textit{S. Leela}, Stab. Control Theory Methods Appl. 13, 121--134 (2003; Zbl 1057.34046)
Lakshmikantham, V.; Vatsala, A. S. Basic theory of fuzzy difference equations. (English) Zbl 1023.39008 J. Difference Equ. Appl. 8, No. 11, 957-968 (2002). Reviewer: Xianhua Tang (Changsha) MSC: 39A11 26E50 PDFBibTeX XMLCite \textit{V. Lakshmikantham} and \textit{A. S. Vatsala}, J. Difference Equ. Appl. 8, No. 11, 957--968 (2002; Zbl 1023.39008) Full Text: DOI
Stephens, Sonya A. F.; Lakshmikantham, V. An overview of integro-differential equations and variational Lyapunov method. (English) Zbl 0983.45004 Noël, Alfred G. (ed.) et al., Council for African American Researchers in the mathematical sciences: Volume III. Fifth conference for African American Researchers in the mathematical sciences, June 22-25, 1999, University of Michigan, Ann Arbor, MI, USA. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 275, 129-135 (2001). MSC: 45J05 45M10 45G10 PDFBibTeX XMLCite \textit{S. A. F. Stephens} and \textit{V. Lakshmikantham}, Contemp. Math. 275, 129--135 (2001; Zbl 0983.45004)
Stephens, Sonya A. F.; Lakshmikantham, V. Integro-differential equations and variational Lyapunov method. (English) Zbl 0965.45011 Agarwal, Ravi P. (ed.) et al., Integral and integrodifferential equations: Theory, methods and applications. Amsterdam: Gordon and Breach Science Publishers. Ser. Math. Anal. Appl. 2, 299-306 (2000). MSC: 45J05 45G10 45M10 PDFBibTeX XMLCite \textit{S. A. F. Stephens} and \textit{V. Lakshmikantham}, Ser. Math. Anal. Appl. 2, 299--306 (2000; Zbl 0965.45011)
Lakshmikantham, V.; Deo, S. G. Method of variation of parameters for dynamic systems. (English) Zbl 0920.34001 Series in Mathematical Analysis and Applications. 1. Amsterdam: Gordon and Breach Science Publishers (ISBN 978-90-5699-160-9/hbk; 978-0-367-45577-4/pbk; 978-0-203-74745-2/ebook). viii, 317 p. (1998). Reviewer: N.Medvedeva (Chelyabinsk) MSC: 34-02 37-XX 45-02 34E10 34K05 34F05 34M99 PDFBibTeX XMLCite \textit{V. Lakshmikantham} and \textit{S. G. Deo}, Method of variation of parameters for dynamic systems. Amsterdam: Gordon and Breach Science Publishers (1998; Zbl 0920.34001) Full Text: DOI
Lakshmikantham, V.; Liu, X.; Leela, S. Variational Lyapunov method and stability theory. (English) Zbl 0912.34043 Math. Probl. Eng. 3, No. 6, 555-571 (1998). Reviewer: Y.Kivshar (Canberra) MSC: 34D20 34A34 PDFBibTeX XMLCite \textit{V. Lakshmikantham} et al., Math. Probl. Eng. 3, No. 6, 555--571 (1998; Zbl 0912.34043) Full Text: DOI EuDML
Lakshmikantham, V.; Wen, Lizhi; Zhang, Binggen Theory of differential equations with unbounded delay. (English) Zbl 0823.34069 Mathematics and its Applications (Dordrecht). 298. Dordrecht: Kluwer Academic Publishers. xi, 385 p. (1994). Reviewer: J.Wu (North York) MSC: 34K99 34K05 34K20 34-02 34K40 PDFBibTeX XMLCite \textit{V. Lakshmikantham} et al., Theory of differential equations with unbounded delay. Dordrecht: Kluwer Academic Publishers (1994; Zbl 0823.34069)
Lakshmikantham, V. Comparison principle for impulsive differential equations with variable times. (English) Zbl 0807.34012 Liu, Xinzhi (ed.) et al., Comparison methods and stability theory. The Symposium was held in Waterloo, Ontario, Canada, June 3-6, 1993. Proceedings. Basel: Marcel Dekker. Lect. Notes Pure Appl. Math. 162, 227-236 (1994). Reviewer: S.I.Trofimchuk (Kiev) MSC: 34A37 34C10 34D20 PDFBibTeX XMLCite \textit{V. Lakshmikantham}, Lect. Notes Pure Appl. Math. 162, 227--236 (1994; Zbl 0807.34012)
Lakshmikantham, V.; Liu, X. Z. Stability analysis in terms of two measures. (English) Zbl 0797.34056 Singapore: World Scientific. xi, 402 p. (1993). Reviewer: L.Hatvani (Szeged) MSC: 34D20 34-02 PDFBibTeX XMLCite \textit{V. Lakshmikantham} and \textit{X. Z. Liu}, Stability analysis in terms of two measures. Singapore: World Scientific (1993; Zbl 0797.34056)
Lakshmikantham, V.; Martynyuk, A. A. Lyapunov’s direct method in stability theory review. (English. Russian original) Zbl 0791.70013 Int. Appl. Mech. 28, No. 3, 135-144 (1992); translation from Prikl. Mekh. 28, No. 3, 3-13 (1992). MSC: 70K20 34D20 70-02 PDFBibTeX XMLCite \textit{V. Lakshmikantham} and \textit{A. A. Martynyuk}, Int. Appl. Mech. 28, No. 3, 135--144 (1992; Zbl 0791.70013); translation from Prikl. Mekh. 28, No. 3, 3--13 (1992) Full Text: DOI
Lakshmikantham, V.; Leela, S.; Sivasundaram, S. Lyapunov functions on product spaces and stability theory of delay differential equations. (English) Zbl 0781.34050 J. Math. Anal. Appl. 154, No. 2, 391-402 (1991). MSC: 34K20 34D20 PDFBibTeX XMLCite \textit{V. Lakshmikantham} et al., J. Math. Anal. Appl. 154, No. 2, 391--402 (1991; Zbl 0781.34050) Full Text: DOI
Lakshmikantham, V.; Matrosov, V. M.; Sivasundaram, S. Vector Lyapunov functions and stability analysis of nonlinear systems. (English) Zbl 0721.34054 Mathematics and Its Applications, 63. Dordrecht etc.: Kluwer Academic Publishers. x, 172 p. Dfl. 120.00; $ 79.00; £41.00 (1991). Reviewer: W.Müller (Berlin) MSC: 34D20 34-02 93D05 93D30 PDFBibTeX XMLCite \textit{V. Lakshmikantham} et al., Vector Lyapunov functions and stability analysis of nonlinear systems. Dordrecht etc.: Kluwer Academic Publishers (1991; Zbl 0721.34054)
Lakshmikantham, V.; Leela, S.; Martynyuk, A. A. Practical stability of nonlinear systems. (English) Zbl 0753.34037 Singapore: World Scientific. x, 207 p. (1990). Reviewer: Wolfdietrich Müller (Berlin) MSC: 34D20 34K20 93D05 34-02 39-02 93-02 39A11 34A37 34A60 93D15 PDFBibTeX XMLCite \textit{V. Lakshmikantham} et al., Practical stability of nonlinear systems. Singapore: World Scientific (1990; Zbl 0753.34037)
Lakshmikantham, V. Recent advances in the stability theory of nonlinear systems. (English) Zbl 0706.34050 Qualitative theory of differential equations, 3rd Colloq., Szeged/Hung. 1988, Colloq. Math. Soc. János Bolyai 53, 383-393 (1990). Reviewer: V.Lakshmikantham MSC: 34D20 34A34 PDFBibTeX XML
Lakshmikantham, V.; Liu, Xinzhi; Sathananthan, S. Impulsive integro-differential equations and extension of Lyapunov’s method. (English) Zbl 0653.45009 Appl. Anal. 32, No. 3-4, 203-214 (1989). Reviewer: V.Lakshmikantham MSC: 45M10 45J05 PDFBibTeX XMLCite \textit{V. Lakshmikantham} et al., Appl. Anal. 32, No. 3--4, 203--214 (1989; Zbl 0653.45009) Full Text: DOI
Lakshmikantham, V. Some problems in integrodifferential equations of Volterra type. (English) Zbl 0598.45015 J. Integral Equations 10, Suppl., 137-146 (1985). Reviewer: M.Tvrdý MSC: 45J05 45N05 PDFBibTeX XMLCite \textit{V. Lakshmikantham}, J. Integral Equations 10, 137--146 (1985; Zbl 0598.45015)
Kannan, B.; Lakshmikantham, V. Existence of periodic solutions of nonlinear solutions of nonlinear boundary value problems and the method of upper and lower solutions. (English) Zbl 0532.34030 Appl. Anal. 17, 103-113 (1984). MSC: 34C25 34B15 34K10 34A40 PDFBibTeX XMLCite \textit{B. Kannan} and \textit{V. Lakshmikantham}, Appl. Anal. 17, 103--113 (1984; Zbl 0532.34030) Full Text: DOI
Kannan, R.; Lakshmikantham, V. Periodic solutions of nonlinear boundary value problems. (English) Zbl 0608.34020 Recent methods in nonlinear analysis and applications, SAFA 4 - Int. Meet., Napoli/Italy 1980, 99-127 (1981). MSC: 34B15 34A34 PDFBibTeX XML
Lakshmikantham, V. Abstract boundary value problems. (English) Zbl 0453.34016 Nonlinear equations in abstract spaces, Proc. int. Symp., Arlington 1977, 117-123 (1978). MSC: 34B10 34A12 34K30 PDFBibTeX XML
Lakshmikantham, V.; Leela, S. Differential and integral inequalities. Theory and applications. Vol. I: Ordinary differential equations. (English) Zbl 0177.12403 Mathematics in Science and Engineering. Vol. 55. New York-London: Academic Press. xii, 390 p. (1969). Reviewer: Gerhard Maeß (Rostock) MSC: 34-02 45-02 34A40 34Dxx 45D05 45J99 PDFBibTeX XML