2006
DOI: 10.1016/j.nonrwa.2005.03.014
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A note on partial functional differential equations with state-dependent delay

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Cited by 123 publications
(55 citation statements)
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“…On the other hand, functional differential equations with state-dependent delay appear frequently in applications as model of equations and for this reason the study of this type of equations has received a significant amount of attention in the past several years (we refer to [7][8][9][10][11][12][13][14][15] and the references therein). The literature related to functional differential inclusions with state-dependent delay remains limited [16,17].…”
Section: Introductionmentioning
confidence: 99%
“…On the other hand, functional differential equations with state-dependent delay appear frequently in applications as model of equations and for this reason the study of this type of equations has received a significant amount of attention in the past several years (we refer to [7][8][9][10][11][12][13][14][15] and the references therein). The literature related to functional differential inclusions with state-dependent delay remains limited [16,17].…”
Section: Introductionmentioning
confidence: 99%
“…The reader is referred to [1,4,5,7,8,[11][12][13][14]32] and references therein for some examples and applications. The problem of the existence of solutions of functional differential equations with state-dependent delay has been treated recently in [2,[16][17][18][19][20]25]. The literature related to second order nonlinear systems with state-dependent delay is not vast, to our knowledge, in the recent works [6,15].…”
Section: ′′ (T) = Ax(t) + Bu(t) + F (T X ρ(Txt) ) T ∈ I = [0 A]mentioning
confidence: 99%
“…Other authors have studied problems involving impulsive act, for retarded and neutral functional differential equations we cite [7][8][9][10][11][12][13][14][15][16][17], for applications of impulsive differential equations on biology and neural networks we cite [18][19][20][21]. On the other hand impulsive fractional differential equations is a topic treated in [22,23].…”
Section: (T) − G(t X T ) = A(t)x(t) + F (T X T ) +mentioning
confidence: 99%