Literature Cited
M. A. Krasnosel'skii, Positive Solutions of Operator Equation, Noordhoff, Groninger (1964).
H. Gajewski, K. Groger, und K. Zacharias, Nichtlineare Operatorgleichungen unde Operator-differentialgleichungen, Akademie-Verlag, Berlin (1974).
J.-L. Lions, Quelques Methodes de Resolution des Problemes aux Limites Nonlineaires, Dunod, Gauthier-Villars, Paris (1969).
I. V. Skrypnik, “The solvability and properties of the solutions of nonlinear elliptic equations,” Sovrem. Probl. Mat.,9, 131–254 (1976).
P. Browder, “Existence theory for boundary value problems for quasilinear elliptic systems with strongly nonlinear order terms,” in: Partial Differential Equations, (Proc. Sympos. Pure Mat. Univ. California, Berkeley (1973), Vol. 23, Am. Math. Soc., Providence (1973), pp. 269–286.
J.-P. Gossez, “Nonlinear elliptic boundary value problems for equations with rapidly (orslowly) increasing coefficients, Trans. Am. Math. Soc.,190, 163–205 (1974).
Additional information
Translated from Kibernetika, No. 2, pp. 63–67, March–April, 1988.
Rights and permissions
About this article
Cite this article
Ivanenko, V.I., Mel'nik, V.S. Method of monotone operators in control problems for quasilinear systems. Cybern Syst Anal 24, 218–224 (1988). https://doi.org/10.1007/BF01082612
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01082612