Generalized Conditional Joints as Subdifferential Constitutive Models
1985The paper proposes ''polygonal'' constitutive laws to take note of the changes that develop in the conditional joints of a body. During a loading process new contacts develop or existing connections cease to be valid. The subdifferential-conditional joints proposed here cover the elastic, plastic, hardening, locking and contacting behaviour of ...
openaire +2 more sources
A generalized steepest descent method for continuously subdifferentiable functions
Optimization, 1994A class of methods for unconstrained minimization of quasidifferentiable, especially subdifferentiable functions is described, which includes well-known algorithms as special cases. Moreover, it is shown that an algorithm previously published fails to converge to an e-inf-stationary point in general. Some preliminary numerical results are reported on.
B. Luderer, J. Weigelt
openaire +1 more source
Attractors of periodic systems generated by time-dependent subdifferentials
Nonlinear Analysis: Theory, Methods & Applications, 1999In this very important work, attractors of periodic systems generated by time-dependent subdifferentials is examined. The authors deal (firstly) with the periodic system \[ \dot u(t)+\partial \varphi^t_p \bigl(u (t) \bigr)+ g_p\bigl(t,u(t) \bigr)\ni f_p(t)\text{ in }H,\;t\geq s,\leqno{(P)_s} \] where \(\varphi_p^t\) is a \(T_0\)-periodic proper l.s.c ...
Ito, Akio +2 more
openaire +1 more source
On generalized $$\epsilon $$ ϵ -subdifferential and radial epiderivative of set-valued mappings
Optimization Letters, 2013Le \(X\) be a real normed space, \(Y\) a real normed space ordered by a convex cone \(K\), and \(F:X\rightarrow2^{Y}\) a set-valued mapping. By using radial epiderivatives, the notion of generalized \(\varepsilon\) -subdifferential of \(F\) is introduced.
Guo, X. L., Zhao, C. J., Li, Z. W.
openaire +1 more source
On generalized conjugations and subdifferentials in abstract convex analysis
Optimization, 2009We generalize the notion of a duality , where U and V are two complete lattices, to arbitrary partially ordered sets U and V. Then we consider abstract subdifferentials corresponding to such type of dualities and formulate conditions for the global minimum of a function in terms of these subdifferentials.
openaire +1 more source
Analysis of Generalized Conditional Joints as Subdifferential Constitutive Models
Mechanics of Structures and Machines, 1987ABSTRACT The elements of a body whose stresses or strains or their combinations are governed by prescribed conditions are termed conditional joints. During a loading process, new contacts develop (locking of gaps) or existing connections become ineffective (plastification), causing physical nonlinearity of the body.
openaire +1 more source
Almost periodic stability for doubly nonlinear evolution equations generated by subdifferentials
Nonlinear Analysis: Theory, Methods & Applications, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
An extension to sets of supernormal cones and generalized subdifferential
Optimization, 1994In this research work we present some considerations concerning the supernormal (nuclear) cones. remarkable examples, a proper extension to sets of the supernormality and its immediate connections with an apprupriatc cunccpt of generalized ...
openaire +1 more source
Solutions of evolution inclusions generated by a difference of subdifferentials
Proceedings of the Steklov Institute of Mathematics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
exaly