Application of monotone iterative method to a system of parabolic semilinear functional-differential problems with nonlocal conditions

Nonlinear Analysis, Theory, Methods and Applications

Volumn 28, Issue 8, 1997, Pages 1347-1357

  Byszewski, Ludwik ^a  

^a CRACOW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Diagonal systems; Existence and uniqueness of solutions; Functional differential equations and inequalities; Monotone iterative method; Nonlocal parabolic problems

Indexed keywords

DIFFERENTIAL EQUATIONS; NONLINEAR EQUATIONS;

FUNCTIONAL-DIFFERENTIAL PROBLEMS; MONOTONE ITERATIVE METHOD; NONLOCAL CONDITIONS;

ITERATIVE METHODS;

EID: 0031126692     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(95)00233-L     Document Type: Article

References (7)

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3. BRZYCHCZY S., Approximate iterative method and the existence of solutions of nonlinear parabolic differential-functional equations, Ann. Polon. Math. 42, 37-43 (1983).
4. BYSZEWSKI L. & LAKSHMIKANTHAM V., Monotone iterative technique for nonlocal hyperbolic differential problem, J. math. phys. Sci. 26(4), 345-359 (1992).
5. FRIEDMAN A., Partial Differential Equations of Parabolic Type. Krieger, Melbourne, FL (1983).
6. BYSZEWSKI L., Strong maximum principle for implicit nonlinear parabolic functional-differential inequalities in arbitrary domains, Univ. Iagel. Acta Math. 24, 327-339 (1984).
7. SZARSKI J., Differential Inequalities. Polish Scientific Publishers, Warsaw (1967).