Monotone iterative technique for semilinear elliptic systems
نویسندگان
چکیده
منابع مشابه
Monotone Iterative Technique for Semilinear Elliptic Systems
We develop monotone iterative technique for a system of semilinear elliptic boundary value problems when the forcing function is the sum of Caratheodory functions which are nondecreasing and nonincreasing, respectively. The splitting of the forcing function leads to four different types of coupled weak upper and lower solutions. In this paper, relative to two of these coupled upper and lower so...
متن کاملQuadratic convergence of monotone iterates for semilinear elliptic obstacle problems
In this paper, we consider the numerical solution for the discretization of semilinear elliptic complementarity problems. A monotone algorithm is established based on the upper and lower solutions of the problem. It is proved that iterates, generated by the algorithm, are a pair of upper and lower solution iterates and converge monotonically from above and below, respectively, to the solution o...
متن کاملLocating the peaks of semilinear elliptic systems
We consider a system of weakly coupled singularly perturbed semilinear elliptic equations. First, we obtain a Lipschitz regularity result for the associated ground energy function Σ as well as representation formulas for the left and the right derivatives. Then, we show that the concentration points of the solutions locate close to the critical points of Σ in the sense of subdifferential calcul...
متن کاملGeneral uniqueness and monotone iterative technique for fractional differential equations
In this paper, the general existence and uniqueness result is proved which exhibits the idea of comparison principle. This result is also valid for fractional differential equations in a Banach space. The well-known monotone iterative technique is then extended for fractional differential equations which provides computable monotone sequences that converge to the extremal solutions in a sector ...
متن کاملPerturbation Results and Monotone Iterative Technique for Fractional Evolution Equations
and Applied Analysis 3 system. Secondly, do the solution operators for fractional evolution equations have the perturbation properties analogous to those for the C0-semigroup? For evolution equations of integer order, perturbation properties play a significant role in monotone iterative technique; see 24 . Our paper copes with the above difficulties, and the new features of this paper mainly in...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Boundary Value Problems
سال: 2005
ISSN: 1687-2770
DOI: 10.1155/bvp.2005.93