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Monotone iterative technique for impulsive differential equations with time variables
Korean Journal of Computational & Applied Mathematics, 2000Summary: The authors establish general comparison principles for IVPs of impulsive differential equations with time variables, which strictly extend and improve previous comparison results obtained by other authors. With the general comparison results, monotone iterative sequences of solutions to IVPs to such equations are constructed which converge to
Qi, Jiangang, Liu, Yansheng
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Monotone iterative technique and positive solutions of Lidstone boundary value problems
Applied Mathematics and Computation, 2002Consider the boundary value problem \[ (-1)^n w^{(2n)} (t) = f(t,w(t)), \quad 0 \leq t \leq 1,\quad w^{(2i)} (0) = w^{(2i)} (1) = 0, \quad 0 \leq i \leq n-1, \tag{\(*\)} \] under the conditions (i) \(f:[0,1] \times [0,+\infty) \rightarrow [0,+\infty)\) is continuous.
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Monotone iterative technique and existence results for fractional differential equations
Nonlinear Analysis: Theory, Methods & Applications, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Monotone iterative technique for delay differential equations in abstract cones
Applied Mathematics and Computation, 1983A monotone iterative technique is developed for delay differential equations in a Banach space by utilizing the method of upper and lower solutions.
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Monotone Iterative Techniques for Discontinuous Nonlinear Differential Equations
2017Seppo Heikkilä, V. Lakshmikantham
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Monotone iterative technique for ψ-Caputo fractional differential equations
Saïd Abbas +3 moreopenaire +1 more source
Monotone iterative techniques for Caputo differential equations with bounded delay.
2018openaire +1 more source