Monotone Iterative Techniques for Time-Dependent Problems with Applications
Copyright policy )Monotone Iterative Techniques for Time-Dependent Problems with Applications
The authors use the theory of positive semigroups to develop a monotone iterative technique in the spirit of the paper of \textit{J. J. Nieto} [Nonlinear Anal., Theory Methods Appl. 28, No. 12, 1923-1933 (1997; Zbl 0883.47058)] for the time-dependent nonlinear abstract problem \[ u'(t)=Au(t)+N(t)u(t), t\in J;\quad u(0)=\phi_{0}, \] with \(J=[0, T_{0})\), \(0
- University of Waterloo Canada
- Xi’an Jiaotong-Liverpool University China (People's Republic of)
impulses, Groups and semigroups of linear operators, Linear differential equations in abstract spaces, Population dynamics (general), Reaction-diffusion equations, Applied Mathematics, monotone iterative technique, upper and lower solutions, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, semigroups of operators, Analysis
impulses, Groups and semigroups of linear operators, Linear differential equations in abstract spaces, Population dynamics (general), Reaction-diffusion equations, Applied Mathematics, monotone iterative technique, upper and lower solutions, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, semigroups of operators, Analysis
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