An existence theorem for an hyperbolic differential inclusion in Banach spaces

2002 ◽  
Vol 22 (1) ◽  
pp. 5 ◽  
Author(s):  
Mouffak Benchohra ◽  
Sotiris K. Ntouyas
Keyword(s):  
Existence Theorem ◽  
Banach Spaces ◽  
Differential Inclusion ◽  
Hyperbolic Differential Inclusion

Existence results of mild solutions for impulsive fractional integro-differential evolution equations with infinite delay

2014 ◽  
Vol 17 (4) ◽  
Author(s):  
Shengli Xie
Keyword(s):  
Differential Equations ◽  
Differential Evolution ◽  
Existence Theorem ◽  
Banach Spaces ◽  
Existence And Uniqueness ◽  
Evolution Equations ◽  
Infinite Delay ◽  
Mild Solutions ◽  
Existence Results ◽  
Order Case

AbstractIn this paper we prove the existence and uniqueness of mild solutions for impulsive fractional integro-differential evolution equations with infinite delay in Banach spaces. We generalize the existence theorem for integer order differential equations to the fractional order case. The results obtained here improve and generalize many known results.

scholarly journals Existence Results for Some Equilibrium Problems Involvingα-Monotone Bifunction

2016 ◽  
Vol 2016 ◽  
pp. 1-5 ◽  
Author(s):  
Ayed E. Hashoosh ◽  
Mohsen Alimohammady ◽  
M. K. Kalleji
Keyword(s):  
Banach Spaces ◽  
Differential Inclusion ◽  
Equilibrium Problems ◽  
Existence Of Solution ◽  
Existence Results ◽  
Closed Sets ◽  
Monotone Bifunction

This paper deals with some existence results of equilibrium problems(EPΨ)on convex and closed sets (either bounded or unbounded) in Banach spaces. Moreover, an application to the existence of solution for a differential inclusion is given.

scholarly journals An existence theorem for solutions of an integro-differential equation in Banach spaces

2012 ◽  
Vol 45 (4) ◽  
Author(s):  
Aldona Dutkiewicz
Keyword(s):  
Differential Equation ◽  
Existence Theorem ◽  
Banach Spaces ◽  
Initial Value Problem ◽  
Initial Value ◽  
Measures Of Noncompactness ◽  
Integro Differential Equation ◽  
Local Solutions

AbstractThe paper contains an existence theorem for local solutions of an initial value problem for a nonlinear integro-differential equation in Banach spaces. The assumptions and proofs are expressed in terms of measures of noncompactness.

On the Existence of Solutions of Ordinary Differential Equations in Banach Spaces

2015 ◽  
Vol 65 (3) ◽  
Author(s):  
Aldona Dutkiewicz
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Existence Theorem ◽  
Banach Spaces ◽  
Measure Of Noncompactness ◽  
Existence Of Solutions ◽  
Kuratowski Measure Of Noncompactness ◽  
Japan Acad

AbstractIn this paper we prove an existence theorem for ordinary differential equations in Banach spaces. The main assumptions in our results, formulated in terms of the Kuratowski measure of noncompactness, are motivated by the paper [CONSTANTIN, A.: On Nagumo’s theorem, Proc. Japan Acad. Ser. A Math. Sci. 86 (2010), 41-44].

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