Results 41 to 50 of about 1,584 (227)
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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, 2010 This paper studies the large fluctuations of solutions of scalar and finite-dimensional affine stochastic functional differential equations with finite memory as well as related nonlinear equations.
Wu, H., Appleby, John A.D., Mao, Xuerong
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Spreading Speed for a Vector‐Borne Disease System on Non‐Coincident Straight Infinite Cylinders
Studies in Applied Mathematics, Volume 156, Issue 6, June 2026.ABSTRACT Vector‐borne diseases remain an increasing global public health concern. In this work, we investigate the spreading speed of vector‐borne disease via a four‐component reaction–diffusion system posed on non‐coincident straight infinite cylinders, which stands for an unconventional spatial configuration.
Arnaud Ducrot +2 more
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Quasilinear Stochastic Cauchy Problem in Abstract Colombeau Spaces
International Journal of Mathematics and Mathematical Sciences, 2012 Generalized solutions to the abstract Cauchy problem for a quasilinear equation with the generator of an integrated semigroup and with terms reflecting nonlinear perturbations and white noise type perturbations are under consideration.
Irina V. Melnikova, Uljana A. Alekseeva
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Existence of viscosity solutions to abstract Cauchy problems via nonlinear semigroups
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract In this work, we provide conditions for nonlinear monotone semigroups on locally convex vector lattices to give rise to a generalized notion of viscosity solutions to a related nonlinear partial differential equation. The semigroup needs to satisfy a convexity estimate, so called K$K$‐convexity, with respect to another family of operators ...
Fabian Fuchs, Max Nendel
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On approximation by semigroups of nonlinear contractions, I
Journal of Approximation Theory, 1975 AbstractThis note is a sequel to the preceding one with the same title published in this Journal (13, 205–217 (1975)). The contents of the first paper are assumed to be known. References are in alphabetical order in each paper, but they, as well as the sections, are numbered consecutively.
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A class of one-parameter nonlinear semigroups with differentiable approximating semigroups [PDF]
Proceedings of the American Mathematical Society, 1977 Suppose that T is a strongly continuous semigroup of transformations on a subset C of a Banach space X . For
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The nisio semigroup for controlled diffusions with partial observations
, 1986 A one parameter semigroup of nonlinear operators on an appropriate Banach space is constructed in the spirit of Nisio for controlled diffusions with partial observations. The method is based upon considering an equivalent problem of controlling a measure-
Borkar, Vivek S.
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Strong well‐posedness for a stochastic fluid‐rigid body system via stochastic maximal regularity
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract We develop a rigorous analytical framework for a coupled stochastic fluid‐rigid body system in R3$\mathbb {R}^3$. The model describes the motion of a rigid ball immersed in an incompressible Newtonian fluid subjected to both additive noise in the fluid and body equations and transport‐type noise in the fluid equation. We establish local strong
Felix Brandt, Arnab Roy
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