Second order differential variational inequalities involving anti-periodic boundary value conditions

Lü, Liang; Liu, Zhenhai; Obukhovskiĭ, Valeri

doi:10.1016/j.jmaa.2018.12.072

Cited by 18 publications

(12 citation statements)

References 38 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In several recent papers (see e.g., [11,33,50] and references therein), a final dimensional reduction strategy had been proved to be a key point when associated to the study of autonomous evolution problems. In particular, a new method has been introduced in [13] which combines Yosida approximation with the approximation solvability method.…”

Section: Re A(t)u U H ≥ 0 For Any U ∈ D(a(t))mentioning

confidence: 99%

Solutions to nonlocal evolution equations governed by non-autonomous forms and demicontinuous nonlinearities

Colao

Muglia

2022

J. Evol. Equ.

View full text Add to dashboard Cite

We deal with the existence of solutions having $$L^2$$ L 2 -regularity for a class of non-autonomous evolution equations. Associated with the equation, a general non-local condition is studied. The technique we used combines a finite dimensional reduction together with the Leray–Schauder continuation principle. This approach permits to consider a wide class of nonlinear terms by allowing demicontinuity assumptions on the nonlinearity.

show abstract

Section: Re A(t)u U H ≥ 0 For Any U ∈ D(a(t))mentioning

confidence: 99%

Solutions to nonlocal evolution equations governed by non-autonomous forms and demicontinuous nonlinearities

Colao

Muglia

2022

J. Evol. Equ.

View full text Add to dashboard Cite

show abstract

“…In several recent papers (see e.g. [11,33,49] and references therein), a final dimensional reduction strategy had been proved to be a key point when associated to the study of autonomous evolution problems. In particular a new method has been introduced in [13] which combines Yosida approximation with the approximation solvability method.…”

Section: Remark 14mentioning

confidence: 99%

Solutions to Nonlocal Evolution Equations Governed by Non-autonomous Forms and Demicontinuous Nonlinearities

Colao

Muglia

2022

Preprint

View full text Add to dashboard Cite

We deal with the existence of solutions having L 2 − regularity for a class of non-autonomous evolution equations. Associated with the equation, a general non-local condition is studied. The technique we used combines a finite dimensional reduction together with the Leray-Schauder continuation principle. This approach permits to consider a wide class of nonlinear terms by allowing demicontinuity assumptions on the nonlinearity.

show abstract

“…the duality pairing between V * and V. The trace theorem states 27) where γ is the trace operator defined by…”

Section: An Applicationmentioning

confidence: 99%

A class of fractional differential hemivariational inequalities with application to contact problem

Zeng

Liu

Migórski

2018

Z. Angew. Math. Phys.

Self Cite

View full text Add to dashboard Cite

Abstract. In this paper, we study a class of generalized differential hemivariational inequalities of parabolic type involving the time fractional order derivative operator in Banach spaces. We use the Rothe method combined with surjectivity of multivalued pseudomonotone operators and properties of the Clarke generalized gradient to establish existence of solution to the abstract inequality. As an illustrative application, a frictional quasistatic contact problem for viscoelastic materials with adhesion is investigated, in which the friction and contact conditions are described by the Clarke generalized gradient of nonconvex and nonsmooth functionals, and the constitutive relation is modeled by the fractional Kelvin-Voigt law.Mathematics Subject Classification. 35L15, 35L86, 35L87, 74Hxx, 74M10.

show abstract

Second order differential variational inequalities involving anti-periodic boundary value conditions

Cited by 18 publications

References 38 publications

Solutions to nonlocal evolution equations governed by non-autonomous forms and demicontinuous nonlinearities

Solutions to nonlocal evolution equations governed by non-autonomous forms and demicontinuous nonlinearities

Solutions to Nonlocal Evolution Equations Governed by Non-autonomous Forms and Demicontinuous Nonlinearities

A class of fractional differential hemivariational inequalities with application to contact problem

Contact Info

Product

Resources

About