Nonlinear differential equations with nonlocal conditions in Banach spaces

By X. Xue. 2005

80 citations recorded by the source corpus.

Subfields: Applied Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/89d61a6d4d606890d4b3dd3c755e9839087044c3

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. Juan C. Pozo
2. Verónica Poblete
3. S. Kiruthika
4. V. Staicu
5. Jesus Garcia-Falset
6. Krishnan Balachandran
7. Hernán R. Henríquez
8. Sergiu Aizicovici

In Control and Systems Engineering

1. Juan C. Pozo
2. Verónica Poblete
3. V. Staicu
4. Jesus Garcia-Falset
5. Krishnan Balachandran
6. Hernán R. Henríquez
7. Sergiu Aizicovici
8. S. Kiruthika

Citations in the corpus

• Mild solutions of non-autonomous second order problems with nonlocal initial conditions (2014, background): “For the importance of nonlocal conditions in different fields of applied sciences see [12,15,49,50] and the references cited”
• Nonlocal nonlinear differential equations with a measure of noncompactness in Banach spaces (2009, unknown): “2 ([1,28]).”
• Controllability results for fractional order neutral functional differential inclusions with infinite delay (2017, unknown): “Since the appearance of this paper, several papers have addressed the issue of existence and uniqueness results for various types of nonlinear differential equations [13, 14, 20, 36, 23, 33, 55].”
• Multivalued evolution equations with nonlocal initial conditions in Banach spaces (2007, methodology): “(A comparable argument was independently used by Xue [28], in a different context.”
• Existence results and asymptotic behavior for nonlocal abstract Cauchy problems (2008, background): “In one of the results of [27] it is required that the semigroup generated by −A be equicontinuous.”
• EXISTENCE OF SOLUTIONS OF ABSTRACT FRACTIONAL IMPULSIVE SEMILINEAR EVOLUTION EQUATIONS (2010, background): “Subsequently several authors have investigated the problem for different types of nonlinear differential equations and integrodifferential equations including functional differential equations in Banach spaces [2-4, 10, 20].”
• Semilinear Differential Equations with Nonlocal Conditions in Banach Spaces (2006, unknown): “Aizicovici [1] [2] studies the nonlocal Cauchy problems when A is a nonlinear m-accretive operator on X. Recently, Xue [20] [21] discusses the semilinear and nonlinear nonlocal problem (1.1), (1.2) by using the method of topological transformation, respectively, which avoids the difficulties associa”