Introduction: Magnetic stations are one of the main tools for observing geomagnetic field. However, gaps and anomalies in time series data, which often exceed 30% number recorded values, negatively affect effectiveness implemented approach complicate application mathematical require that information signal is continuous. Besides, missing values ​​add extra uncertainty computer simulation dynami...

We investigate the optimal control problem with respect to coefficients of degenerate parabolic variational inequality. Since problems this type can have Lavrentieff effect, we consider in a class so-called Hadmissible solutions. substantiate attainability H-optimal pairs via solutions some nondegenerate perturbed problems.

This paper presents an abstract analysis of bounded variation (BV) methods for ill-posed operator equations Au = z. Let T(u) def = kAu ? zk 2 + J(u); where the penalty, or \regularization", parameter > 0 and the functional J(u) is the BV norm or seminorm of u, also known as the total variation of u. Under mild restrictions on the operator A and the functional J(u), it is shown that the function...

Many models of mutualisms show that mutualisms are unstable if hosts lack mechanisms enabling preferential associations with mutualistic symbiotic partners over exploitative partners. Despite the theoretical importance of mutualism-stabilizing mechanisms, we have little empirical evidence to infer their evolutionary dynamics in response to exploitation by non-beneficial partners. Using a model ...

Newmeyer (2004) argues that the notion of parameter of Universal Grammar has no role to play in accounting for cross-linguistic differences in syntax, and that, instead, “language-particular differences are captured by differences in language-particular rules” (183). He tries to show that parameter-approaches “have failed to live up to their promise” (181) and that “the hopeful vision of UG as ...