scholarly journals An abstract existence theorem at resonance

1977 ◽  
Vol 63 (2) ◽  
pp. 221-221 ◽  
Author(s):  
L. Cesari ◽  
R. Kannan
Keyword(s):  
Existence Theorem ◽  
At Resonance ◽  
Abstract Existence

scholarly journals An Abstract Existence Theorem at Resonance and Its Applications

1998 ◽  
Vol 145 (2) ◽  
pp. 274-294 ◽  
Author(s):  
Shiwang Ma ◽  
Zhicheng Wang ◽  
Jianshe Yu
Keyword(s):  
Existence Theorem ◽  
At Resonance ◽  
Abstract Existence

scholarly journals An existence theorem for nonlinear hemivariational inequalities at resonance

2001 ◽  
Vol 63 (1) ◽  
pp. 1-14 ◽  
Author(s):  
Leszek Gasiński ◽  
Nikolaos S. Papageorgiou
Keyword(s):  
Existence Theorem ◽  
Nontrivial Solution ◽  
Mountain Pass Theorem ◽  
Existence Results ◽  
Mountain Pass ◽  
Hemivariational Inequality ◽  
Hemivariational Inequalities ◽  
Compactness Condition ◽  
At Resonance ◽  
Recent Theorem

We consider a nonlinear hemivariational inequality with the p-Laplacian at resonance. Using an extension of the nonsmooth mountain pass theorem of Chang, which makes use of the Cerami compactness condition, we prove the existence of a nontrivial solution. Our existence results here extends a recent theorem on resonant hemivariational inequalities, by the authors in 1999.

scholarly journals Elliptic problems with nonmonotone discontinuities at resonance

2002 ◽  
Vol 7 (9) ◽  
pp. 497-507
Author(s):  
Halidias Nikolaos
Keyword(s):  
Critical Point ◽  
Existence Theorem ◽  
Critical Point Theory ◽  
Elliptic Problems ◽  
Point Theory ◽  
Forcing Term ◽  
At Resonance ◽  
Locally Lipschitz

Using the critical point theory of Chang (1981) for locally Lipschitz functionals, we prove an existence theorem for some elliptic problems at resonance with no Carathéodory forcing term.

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.

Sign in / Sign up

Export Citation Format

Share Document