×
Lakshmikantham, V.

Parabolic differential equations and Lyapunov like functions. (English) Zbl 0131.32101

J. Math. Anal. Appl. 9, 234-251 (1964).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0131.32101

Cited in 6 Documents

Keywords:

partial differential equations equations
Cite Review PDF
Full Text: DOI

References:

[1] Lakshmikantham, V., Differential systems and extension of Lyapunov’s method, Mich. Math. Jour., 9, 311-320 (1962) · Zbl 0109.31301
[2] Lakshmikantham, V., Differential equations in Banach spaces and extension of Lyapunov’s method, (Proc. Cambridge Phil. Soc., 59 (1963)), 373-381 · Zbl 0115.07204
[3] Lakshmikantham, V.J. Math. Anal. Appl.; Lakshmikantham, V.J. Math. Anal. Appl.
[4] Bellman, R., On the existence and boundedness of solutions of non-linear partial differential equations of parabolic type, Trans. Am. Math. Soc., 64, 21-44 (1948) · Zbl 0032.06903
[5] Prodi, G., Questioni di stabilita per equazioni non-lineari alle derivate parziali di tipo parabolico, Acad. Nazl. Lincei, Rend. Cl. Sci. fis mat. nat., 10, 365-370 (1951) · Zbl 0042.33502
[6] Narasimhan, R., On the asymptotic stability of solutions of parabolic differential equations, J. Rat. Mech. Anal., 3, 303-313 (1954) · Zbl 0055.32602
[7] Mlak, W., Differential inequalities of parabolic type, Ann. Pol. Math., 2, 343-348 (1957), (3) · Zbl 0077.09501
[8] Mak, W., Remarks on the stability problem for parabolic equations, Ann. Pol. Math., 2, 343-348 (1957), (3) · Zbl 0077.09501
[9] Kamke, E., Differentialgleichungen reeller funktionen (1930), Leipzig · JFM 56.0375.03
[10] Wazewski, T., Systèmes des équations et des inégalités différentielles ordinaires aux deuxièmes membres monotones et leurs applications, Ann. Soc. Pol. Math., 23, 112-166 (1950) · Zbl 0041.20705
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.