scholarly journals Some integral estimates on the cones of functions with the monotonicity conditions

2018 ◽  
Vol 90 (2) ◽  
pp. 80-87
Author(s):  
N.A. Bokayev ◽  
◽  
M.L. Goldman ◽  
G.Zh. Karshygina ◽  
◽  
...  
Keyword(s):  
Monotonicity Conditions

scholarly journals A NOTE ON VARIATIONAL SOLUTIONS TO SPDE PERTURBED BY GAUSSIAN NOISE IN A GENERAL CLASS

2009 ◽  
Vol 12 (02) ◽  
pp. 353-358
Author(s):  
MICHAEL RÖCKNER ◽  
YI WANG
Keyword(s):  
Hilbert Space ◽  
Gaussian Noise ◽  
Stochastic Partial Differential Equations ◽  
General Class ◽  
Existence And Uniqueness ◽  
Nonlinear Operators ◽  
Infinite Dimensional ◽  
Variational Solutions ◽  
Cylindrical Wiener Process ◽  
Monotonicity Conditions

This note deals with existence and uniqueness of (variational) solutions to the following type of stochastic partial differential equations on a Hilbert space [Formula: see text][Formula: see text] where A and B are random nonlinear operators satisfying monotonicity conditions and G is an infinite dimensional Gaussian process adapted to the same filtration as the cylindrical Wiener process W(t),t ≥ 0.

scholarly journals Krasnosel’skii Type Hybrid Fixed Point Theorems and Their Applications to Fractional Integral Equations

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
H. M. Srivastava ◽  
Sachin V. Bedre ◽  
S. M. Khairnar ◽  
B. S. Desale
Keyword(s):  
Fixed Point ◽  
Integral Equations ◽  
Fractional Integral ◽  
Fixed Point Theorems ◽  
Existence Of Solutions ◽  
Lower Solution ◽  
Linear Spaces ◽  
Partially Ordered ◽  
Normed Linear Spaces ◽  
Monotonicity Conditions

Some hybrid fixed point theorems of Krasnosel’skii type, which involve product of two operators, are proved in partially ordered normed linear spaces. These hybrid fixed point theorems are then applied to fractional integral equations for proving the existence of solutions under certain monotonicity conditions blending with the existence of the upper or lower solution.

scholarly journals Remarks on some monotonicity conditions for the period function

1999 ◽  
Vol 26 (3) ◽  
pp. 243-252 ◽  
Author(s):  
R. Chouikha ◽  
F. Cuvelier
Keyword(s):  
Period Function ◽  
Monotonicity Conditions

Alexander polynomials of two-bridge links

1984 ◽  
Vol 36 (1) ◽  
pp. 59-68 ◽  
Author(s):  
Taizo Kanenobu
Keyword(s):  
Necessary Conditions ◽  
Alexander Polynomial ◽  
Alexander Polynomials ◽  
Monotonicity Conditions

AbstractWe provide an algorithm for calculating the Alexander polynomial of a two-bridge link by putting every two-bridge link in a special type of Conway diagram. Using this algorithm, some necessary conditions for a polynomial to be the Alexander polynomial of a two-bridge link are given, in particular, certain alternating and monotonicity conditions on the coefficients, analogous to corresponding known properties of the reduced Alexander polynomial.

Monotone stopping-allocation problems

1991 ◽  
Vol 23 (01) ◽  
pp. 24-45
Author(s):  
Robert A. Benhenni
Keyword(s):  
Decision Maker ◽  
Payoff Function ◽  
Stopping Rule ◽  
Allocation Rule ◽  
Global Optimality ◽  
One Stage ◽  
Observation Process ◽  
Look Ahead ◽  
Allocation Problems ◽  
Monotonicity Conditions

Stopping-allocation problems are concerned with how best to allocate observations among some K competing stochastic populations and when to stop the observation process. The goal of the decision-maker is to choose a stopping–allocation rule to maximize the expected value of a payoff function. First the stopping rule is fixed, and the local and global optimality of the myopic allocation rule are derived under some monotonicity conditions. An application is considered, namely the inspection problem and its use in solving a computer scheduling problem. Next, optimization is done with respect to both the allocation rule and the stopping rule. For any given stopping-allocation rule, it is shown that under some monotonicity conditions, the decision-maker can improve on it by using a ‘partial' myopic allocation rule and a generalized one-stage-look-ahead stopping rule; this result is then extended, under the same conditions and other monotonicity requirements, to derive the joint optimality of the myopic allocation rule and the one-stage-look-ahead stopping rule. Finally this latter result is applied to the inspection problem.

Sign in / Sign up

Export Citation Format

Share Document