Nonsmooth Mechanics II

Demyanov, V. F.; Stavroulakis, Georgios Ε.; Polyakova, Lyudmila N.

doi:10.1007/978-1-4615-4113-4_4

Cited by 3 publications

(3 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(ii) Problem (7) has at least two nontrivial solutions for every λ ∈ (λ * , λ 1 ), where λ * is defined in (19).…”

Section: Theorem 44mentioning

confidence: 99%

“…The characteristic is that the corresponding energy functional is nonsmooth and nonconvex. In particular, they have been shown [19] that if a nonsmooth and nonconvex superpotential of a structure is quasidifferentiable then these problems can be studied via hemivariational inequalities. For the applications of the hemivariational inequalities, see [19,20,18] and the references therein.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Multiplicity results for hemivariational inequalities driven by nonlocal elliptic operators

Teng

2012

Journal of Mathematical Analysis and Applications

View full text Add to dashboard Cite

a b s t r a c tIn this paper, we extend a recently established three-critical-point theorem of Arcoya and Carmona (2007) [7] relating to some functionals which are only differentiable along some directions to Motreanu-Panagiotopoulos functionals. As its applications, we establish the existence of two nontrivial solutions to hemivariational inequalities driven by non-local integrodifferential operators.

show abstract

“…(ii) Problem (7) has at least two nontrivial solutions for every λ ∈ (λ * , λ 1 ), where λ * is defined in (19).…”

Section: Theorem 44mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Multiplicity results for hemivariational inequalities driven by nonlocal elliptic operators

Teng

2012

Journal of Mathematical Analysis and Applications

View full text Add to dashboard Cite

show abstract

“…n are continuously differentiable, I and J are finite index sets, the max operator denotes the componentwise maximum, see [1], [4]. The left-hand side of (3.9) being a difference (not sum) of two vector-valued max-type functions, the calculation of an element of B-differential or of Clarke generalized gradient for each of its components can not be implemented easily, let alone its Clarke generalized Jacobian or B-differential.…”

Section: Equations Of Smooth Compositions Of Max-type Functionsmentioning

confidence: 99%

Newton Methods for Solving Two Classes of Nonsmooth Equations

Gao

2001

Applications of Mathematics

View full text Add to dashboard Cite

Nonlinear Time Spectral Analysis for a Dynamic Contact Model with Buckling for an Elastic Plate

Muradova

Stavroulakis

2014

KEM

Self Cite

View full text Add to dashboard Cite

In the present paper a dynamic nonlinear model with contact and buckling for an elasticplate is considered. The model consists of two coupled nonlinear hyperbolic type partial differentialequations. The plate is subjected to compressive and/or tensile moving loads on its edges. The foundationsare nonlinear elastic Winkler and Pasternak models. The initial-boundary value problems forthe model are solved with the use of the time spectral method for spatial discretization and after thediscretization the Newmark- time-stepping iterative scheme for the obtained system of nonlinear ordinarydifferential equations. The model is tested for the Winkler-type and shear Pasternak-type andas well for several values of the physical constants of the foundations.

show abstract

Nonsmooth Mechanics II

Cited by 3 publications

References 28 publications

Multiplicity results for hemivariational inequalities driven by nonlocal elliptic operators

Multiplicity results for hemivariational inequalities driven by nonlocal elliptic operators

Newton Methods for Solving Two Classes of Nonsmooth Equations

Nonlinear Time Spectral Analysis for a Dynamic Contact Model with Buckling for an Elastic Plate

Contact Info

Product

Resources

About