The Theory of Differential Equations: Classical and Qualitative

By W. Kelley, Allan Peterson. 2003

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Higher-order self-adjoint boundary-value problems on time scales (2006, background): “For the theory of higher-order differential equations refer to [15,26,28,29].”
Transition matrix and generalized matrix exponential via the Peano-Baker series (2005, methodology): “The formulation of the solution generalizes the classical derivation using Picard iterates [9] for a first order linear differential equation to any time scale.”
Taylor’s Formula and Integral Inequalities for Conformable Fractional Derivatives (2014, methodology): “In this setting, the theorem will be proven using the variation of constants formula, where we use an approach similar to that used for integer-order derivatives found in [6].”
Global dynamics and spatio-temporal patterns of predator–prey systems with density-dependent motion (2019, methodology): “[18, 21]) (or the compact method together with the Lyapunov functional as in Refs.”