scholarly journals Some existence results for a quasilinear problem with source term in Zygmund-space

2020 ◽  
Vol 76 (3) ◽  
pp. 259-286
Author(s):  
Boussad Hamour
2002 ◽  
Vol 25 (13) ◽  
pp. 1149-1160 ◽  
Author(s):  
Jo�o-Paulo Dias ◽  
Philippe G. LeFloch

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Mandeep Singh ◽  
Amit K. Verma

We consider the following class of three point boundary value problemy′′(t)+f(t,y)=0,0<t<1,y′(0)=0,y(1)=δy(η), whereδ>0,0<η<1, the source termf(t,y)is Lipschitz and continuous. We use monotone iterative technique in the presence of upper and lower solutions for both well-order and reverse order cases. Under some sufficient conditions, we prove some new existence results. We use examples and figures to demonstrate that monotone iterative method can efficiently be used for computation of solutions of nonlinear BVPs.


Kerntechnik ◽  
2019 ◽  
Vol 84 (2) ◽  
pp. 99-109
Author(s):  
K. Mehboob ◽  
M. S. Aljohani
Keyword(s):  

2000 ◽  
Author(s):  
Ian R. Young ◽  
Michael L. Banner ◽  
Mark M. Donelan
Keyword(s):  

2020 ◽  
Vol 57 (3) ◽  
pp. 775-791
Author(s):  
David Dereudre ◽  
Thibaut Vasseur

AbstractWe provide a new proof of the existence of Gibbs point processes with infinite range interactions, based on the compactness of entropy levels. Our main existence theorem holds under two assumptions. The first one is the standard stability assumption, which means that the energy of any finite configuration is superlinear with respect to the number of points. The second assumption is the so-called intensity regularity, which controls the long range of the interaction via the intensity of the process. This assumption is new and introduced here since it is well adapted to the entropy approach. As a corollary of our main result we improve the existence results by Ruelle (1970) for pairwise interactions by relaxing the superstabilty assumption. Note that our setting is not reduced to pairwise interaction and can contain infinite-range multi-body counterparts.


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