Примери коришћења Existence and uniqueness на Енглеском и њихови преводи на Српски
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Existence and uniqueness theory.
The theorem of existence and uniqueness.
Existence and uniqueness Theorem.
Some theoretical questions related to the existence and uniqueness of solutions.
Existence and uniqueness of solutions.
A standard application is the proof of the Picard-Lindelöf theorem[?] about the existence and uniqueness of solutions to certain ordinary differential equations.
Existence and uniqueness of a solution.
The Banach-Caccioppoli fixed-point theorem(also known as the contraction mapping theorem or contraction mapping principle) is an important tool in the theory of metric spaces;it guarantees the existence and uniqueness of fixed points of certain self-maps of metric spaces,and provides a constructive method to find those fixed points.
Proof of existence and uniqueness.
Existence and uniqueness of the solution.
They demonstrate existence and uniqueness of weak solutions.
The Existence and Uniqueness Theorem.
The Existence and Uniqueness of Solutions.
Pure mathematics discusses existence and uniqueness of solutions, while applied mathematics emphasizes the rigorous justification of the methods for approximating solutions.
It guarantees the existence and uniqueness of fixed points of certain self-maps of metric spacesand provides a constructive method to find those fixed points.
Although the issue of existence and uniqueness of solutions of ordinary differential equations has a very satisfactory answer with the Picard-Lindelöf theorem, that is far from the case for partial differential equations.
The fundamental questions of existence and uniqueness of solutions for nonlinear differential equations,and the existence of initial and boundary value problems for nonlinear PDEs is a tedious task.
Although this result might appear to settle the existence and uniqueness of solutions, there are examples of linear partial differential equations whose coefficients have derivatives of all orders(which are nevertheless not analytic) but which have no solutions at all.
So even the fundamental questions of existence, uniqueness, and extendability of solutions for nonlinear differential equations, are hard problems as the.
Some new characterisations of uniform distribution and their stability. Generalized moments in Karamata's sense and the research related to Karamata's slowly varying functions.Investigation of existence, uniqueness and stability of solutions of various stochastic differential equations of Ito's type.