Existence of solutions for impulsive partial neutral functional differential equations

By E. Hernández M., Marco Rabello, Hernán R. Henríquez. 2007

191 citations recorded by the source corpus.

Subfields: Applied Mathematics, Control and Systems Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/ecaecf68ce65501c12250189268f51b4f1de4484

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Jerzy Klamka
2. Rathinasamy Sakthivel
3. Nazim Idrisoglu Mahmudov
4. M. Mallika Arjunan
5. J. J. Nieto
6. Yong-Kui Chang
7. Mark A. McKibben
8. A. Dinesh Kumar Anguraj

In Control and Systems Engineering

1. Jerzy Klamka
2. Rathinasamy Sakthivel
3. Nazim Idrisoglu Mahmudov
4. M. Mallika Arjunan
5. J. J. Nieto
6. Yong-Kui Chang
7. Mark A. McKibben
8. A. Dinesh Kumar Anguraj

In Numerical Analysis

1. Rathinasamy Sakthivel
2. Nazim Idrisoglu Mahmudov
3. Yong-Kui Chang
4. Mark A. McKibben
5. M. Mallika Arjunan
6. J. J. Nieto
7. Hernán R. Henríquez
8. E. Hernández M.

Citations in the corpus

• Existence results for abstract impulsive second-order neutral functional differential equations (2009, methodology): “We refer the reader to Hernandez et al to [12, 16, 17, 18] for second order impulsive differential equations.”
• Existence of Solutions for Impulsive Neutral Integro-Differential Inclusions with Nonlocal Initial Conditions via Fractional Operators (2009, background): “where Ci , i = 1, 2, , p, are given constants and 0 < t1 < t2 < · · · < tp ≤ a In recent years, existence results on different kinds of dynamical systems have been considered in many publications such as [2, 4, 12, 13, 16, 17] and references therein.”
• Existence results for impulsive neutral functional differential equations with infinite delay (2008, background): “In [13, 18, 19], the authors studied the existence of solutions for first-order impulsive partial neutral functional differential equations with infinite delay in Banach space with the compactness assumption on associated semigroups.”
• APPROXIMATE CONTROLLABILITY OF NONLINEAR DETERMINISTIC AND STOCHASTIC SYSTEMS WITH UNBOUNDED DELAY (2010, background): “Let X = L2[0, π] and P = PC0 × L2(g̃, X) (g̃ : (−∞,−r] → R be a positive function) be the phase space introduced in [24, 25].”
• Controllability of dynamical systems. A survey (2013, background): “Related works of this kind of equation can be found in [40] and [49].”
• Existence, Uniqueness and Stability Results of Impulsive Stochastic Semilinear Neutral Functional Differential Equations with Infinite Delays (2009, unknown): “Considerable work in the field of fixed impulsive type equations may be found in [1; 7; 16] and the references therein.”