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20152026
most citedRegularity of solutions of abstract linear evolution equations

4 citations · 11 across the 15 of their papers we have counts for

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Showing 2015 · math.PRShow all

7 papers · 2 filters

math.PR2015★ 2 cited

A sustainability condition for stochastic forest model

Ton Viet Ta, Linh Thi Hoai Nguyen, Atsushi Yagi

A stochastic forest model of young and old age class trees is studied. First, we prove existence, uniqueness and boundedness of global nonnegative solutions. Second, we investigate…

math.PR2015

A stochastic differential equation model for foraging behavior of fish schools

Ton Viet Ta, Linh Thi Hoai Nguyen

We present a novel model of stochastic differential equations for foraging behavior of fish schools in space including obstacles. We then study the model numerically. Three configu…

math.PR2015★ 3 cited

Strict solutions to stochastic parabolic evolution equations in M-type 2 Banach spaces

Ton Viet Ta, Yoshitaka Yamamoto, Atsushi Yagi

We study a stochastic linear evolution equation in a Banach space of M-type 2. We construct unique strict solutions to the equation on the basis of th…

math.PR2015★ 1 cited

Stochastic parabolic evolution equations in M-type 2 Banach spaces

Ton Viet Ta

This paper is devoted to studying stochastic parabolic evolution equations with additive noise in Banach spaces of M-type 2. We construct both strict and mild solutions possessing…

math.PR2015★ 4 cited

Regularity of solutions of abstract linear evolution equations

Viet Ton Ta

In this paper, we study regularity of solutions to linear evolution equations of the form in a Banach space , where is a sectorial operator in and $A^{-…

math.PR2015

Note on abstract stochastic semilinear evolution equations

Ton Viet Ta

This paper is devoted to studying abstract stochastic semilinear evolution equations with additive noise in Hilbert spaces. First, we prove the existence of unique local mild solut…

math.PR2015

Existence results for linear evolution equations of parabolic type

Ton Viet Ta

We study both strict and mild solutions to parabolic evolution equations of the form in Banach spaces. First, we explore the deterministic case. The maxi…