Results 11 to 20 of about 19,755 (210)
An explicit construction of sunny nonexpansive retractions in Banach spaces
Fixed Point Theory and Applications, 2005 An explicit algorithmic scheme for constructing the unique sunny nonexpansive retraction onto the common fixed point set of a nonlinear semigroup of nonexpansive mappings in a Banach space is analyzed and a proof of convergence is given.
Simeon Reich, Arkady Aleyner
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Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1982 The authors give the definition of nonlinear rotative semigroup \((| x-s(p)x| \leq ap| Ax|\), \(x\in D(A)\), \(p>0 ...
Plant, Andrew T., Reich, Simeon
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Evolution Semigroups in Supersonic Flow-Plate Interactions [PDF]
, 2012 We consider the well-posedness of a model for a flow-structure interaction. This model describes the dynamics of an elastic flexible plate with clamped boundary conditions immersed in a supersonic flow.
Balakrishnan +44 more
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Regularizing Properties of Nonlinear Semigroups [PDF]
Proceedings of the American Mathematical Society, 1987 It is known that some classes of m m -accretive operators A A generate Lipschitz continuous semigroups of contractions; that is | | S ( t + h ) x − S ( t ) x |
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Mathematical and Computational Applications, 2021 In the present paper, we consider an important problem from the application perspective in science and engineering, namely, one-dimensional porous–elastic systems with nonlinear damping, infinite memory and distributed delay terms.
Abdelkader Moumen +3 more
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Size-structured populations: immigration, (bi)stability and the net growth rate [PDF]
, 2009 We consider a class of physiologically structured population models, a first order nonlinear partial differential equation equipped with a nonlocal boundary condition, with a constant external inflow of individuals. We prove that the linearised system is
A.S. Ackleh +23 more
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Plasticity Models and Nonlinear Semigroups
Journal of Mathematical Analysis and Applications, 1997 The authors investigate an initial boundary value problem for an elastic-plastic material modeled by a constitutive law for which the hysteretic dependence between stress and strain is described by a system of variational inequalities. The problem is posed as an evolution equation in a Hilbert space.
Showalter, R.E, Shi, Peter
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A note on a strongly damped wave equation with fast growing nonlinearities [PDF]
, 2014 A strongly damped wave equation including the displacement depending nonlinear damping term and nonlinear interaction function is considered. The main aim of the note is to show that under the standard dissipativity restrictions on the nonlinearities ...
Kalantarov, Varga, Zelik, Sergey
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Existence for Nonautonomous Fractional Integrodifferential Equations with Nonlocal Conditions
Abstract and Applied Analysis, 2013 We study the existence of mild solution of a class of nonlinear nonautonomous fractional integrodifferential equations with nonlocal conditions in a separable Banach space .
Fang Li
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Open Mathematics, 2022 In this paper, we study the existence of solutions for the neutral evolution equations with nonlocal conditions and delay in α\alpha -norm, which are more general than in many previous publications.
Zhang Xuping, Sun Pan
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