Titlebook: Nonlinear Analysis and Global Optimization; Themistocles M. Rassias,Panos M. Pardalos Book 2021 Springer Nature Switzerland AG 2021 nonlin

圣人

A Review of Two Network Curvature Measures,ace or other similar space can be adapted to graphs depending on what kind of local or global properties the measure is desired to reflect. In this chapter, we review two such measures, namely the Gromov-hyperbolic curvature measure and a geometric measure based on topological associations to higher-dimensional complexes.

thalamus

A Frictional Dynamic Thermal Contact Problem with Normal Compliance and Damage,esent and establish an existence and uniqueness result of different fields, by using general results on evolution variational inequalities, with monotone operators and fixed point methods. Then, we present a fully discrete numerical scheme of approximation and derive an error estimate. Finally, various numerical computations are developed.

VOC

Error Analysis Through Energy Minimization and Stability Properties of Exponential Integrators,ng a linear stability analysis process we show that the methods with at least one intermediate point are unconditionally stable. Finally, we explore the behavior of the energy errors of the presented schemes in prominent numerical examples and point out their excellent efficiency in long term integration.

interior

A Variational Inequality Based Stochastic Approximation for Inverse Problems in Stochastic Partial zation of the solution map, which is used in computing the derivative of the objective map. By employing a finite element based discretization scheme, we derive the discrete formulas necessary to test the developed stochastic approximation scheme. Preliminary numerical results show the efficacy of the developed framework.

凝視

,Mixed Concave–Convex Sub-Superlinear Schr?dinger Equation: Survey and Development of Some New Caseslustrations.The chapter in its whole aim is a review of existing results about the studied problems reminiscent of some few cases that are not previously developed. We aim thus it will constitute a good reference especially for beginners in the field of nonlinear analysis of PDEs.

Bph773

An Optimization Model for a Network of Organ Transplants with Uncertain Availability,ose of transplant patients, the costs of removal, of transplantation and of post-transplantation, the costs of disposal of diseased or non-functioning organs and of the damaged ones, and the penalties. We deduce the associated variational inequality formulation and an existing result for the solution. Finally, we present some numerical examples.

情感

Harrowing

hallow

A Degenerate Kirchhoff-Type Inclusion Problem with Nonlocal Operator,ding elliptic equation has been treated in (Liu et al., Existence of solutions to Kirchhoff-type problem with vanishing nonlocal term and fractional .-Laplacian). Multiple nontrivial solutions are obtained by applying the nonsmooth critical point theory combined with truncation techniques.

揮舞

Relative Strongly Exponentially Convex Functions,exponentially convex functions and strongly exponentially affine functions is again an exponentially convex function. Results obtained in this paper can be viewed as refinement and improvement of previously known results