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Implicit Function Theorems and Discontinuous Implicit Differential Equations
2004In this paper we shall first prove an existence result for an implicit functional equation. The proof is based on a fixed point result in a Banach lattice derived in [1]. The so obtained implicit function theorem is then applied to an initial value problem of an implicit functional differential equation. The functions in the considered equations may be
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A survey on the initial value problems of fuzzy implicit fractional differential equations
Fuzzy Sets and Systems, 2020Ngo Vân Hoa, Vu Ho
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On the Numerical Solution of Implicit Ordinary Differential Equations
IMA Journal of Numerical Analysis, 1981Fox, L., Mayers, D. F.
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Nonlocal boundary value problem for generalized Hilfer implicit fractional differential equations
Mathematical Methods in the Applied Sciences, 2020Kishor D Kucche
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Higher-order implicit strong numerical schemes for stochastic differential equations
Journal of Statistical Physics, 1992P E Kloeden, Eckhard Platen
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Non-instantaneous impulsive fractional-order implicit differential equations with random effects
Stochastic Analysis and Applications, 2017Jinrong Wang
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