Global existence and boundedness for quasi-variational systems
نویسندگان
چکیده
منابع مشابه
Global Existence and Boundedness for Quasi-variational Systems
We consider quasi-variational ordinary differential systems, which may be considered as the motion law for holonomic mechanical systems. Even when the potential energy of the system is not bounded from below, by constructing appropriate Liapunov functions and using the comparison method, we obtain sufficient conditions for global existence of solutions in the future and for their partial bounde...
متن کاملExistence Results for Quasi Variational Inequalities
It is well known that the quasi variational inequalities are equivalent to the fixed point problems. We this equivalent alternative formulation to discuss the existence of a solution of quasi variational inequalities under some mild conditions. Since the quasi variational inequalities include variational inequalities, implicit complementarity problems and optimization problems as special cases,...
متن کاملExistence and Uniform Boundedness of Optimal Solutions of Variational Problems
Given an x0 ∈ Rn we study the infinite horizon problem of minimizing the expression ∫ T 0 f(t, x(t), x ′(t))dt as T grows to infinity where x : [0,∞) → Rn satisfies the initial condition x(0) = x0. We analyse the existence and the properties of approximate solutions for every prescribed initial value x0. We also establish that for every bounded set E ⊂ Rn the C([0, T ]) norms of approximate sol...
متن کاملNew Existence Theorems for Solutions of Generalized Quasi–variational Inequalities
In this paper, we give several existence theorems for solutions of the generalized quasi–variational inequalities under new conditions. Even in topological vector spaces, our results are new.
متن کاملExistence Theorem for Vector Quasi-Variational-like Inequalities
In this paper, using the maximal element theorem, we prove some existence theorem for vector quasi-variational-like inequalities without monotonicity and without compactness.
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: International Journal of Mathematics and Mathematical Sciences
سال: 1999
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171299222818