Solvability of the Stochastic Degasperis-Procesi Equation
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DOI: 10.1007/s10884-021-10021-5
Abstract: This article studies the Stochastic Degasperis-Procesi equation on $$ \mathbb {R}$$ with an additive noise. Applying the kinetic theory, and considering the initial conditions in $$L^2(\mathbb {R})\cap L^{2+\delta }( \mathbb {R})$$ , for arbitrary small… read more here.
Keywords: stochastic degasperis; procesi equation; degasperis procesi; solvability ... See more keywords
On Coercive Solvability of Parabolic Equations with Variable Operators
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DOI: 10.1007/s10958-019-04321-x
Abstract: AbstractIn a Banach space E, the Cauchy problem υ′t+Atυt=ft0≤t≤1,υ0=υ0,$$ \upsilon^{\prime }(t)+A(t)\upsilon (t)=f(t)\kern1em \left(0\le t\le 1\right),\kern1em \upsilon (0)={\upsilon}_0, $$ is considered for a differential equation with linear strongly positive operator A(t) such that its domain D… read more here.
Keywords: variable operators; coercive solvability; equations variable; solvability ... See more keywords
On the Solvability of Inclusions with Multivalued Compact Perturbations of Bi-Mappings
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DOI: 10.1007/s11228-017-0431-x
Abstract: AbstractThis paper is about the solvability of the inclusion A(u,u)+F(u)∋L,$$A(u,u) + F(u) \ni L , $$ where X is a reflexive Banach space, L ∈ X∗, A is maximal monotone in one argument and continuous… read more here.
Keywords: multivalued compact; compact perturbations; solvability inclusions; inclusions multivalued ... See more keywords
Local solvability for a class of linear operators in Besov and Hölder spaces
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.04.077
Abstract: Abstract We show local solvability in Besov spaces for a class of first order linear operators L defined on an open set of R n + 1 , n ∈ N , satisfying the condition… read more here.
Keywords: local solvability; solvability; solvability class; linear operators ... See more keywords
Farkas-type conditions of general interval linear systems for AE solvability
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DOI: 10.1016/j.laa.2016.11.006
Abstract: Abstract We present Farkas-type necessary and sufficient conditions for AE solvability of two specific general interval linear systems. We generalize the Farkas-type theorems of interval linear systems to a unified framework. Moreover, each particular previously… read more here.
Keywords: solvability; farkas type; general interval; interval linear ... See more keywords
On Global Solvability of One-Dimensional Quasilinear Wave Equations
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DOI: 10.1134/s1995080220120422
Abstract: The paper concerns global solvability of initial value problem for one class of hyperbolic quasilinear second order equations with two independent variables, which have a rather wide range of applications. Besides existence and uniqueness of… read more here.
Keywords: dimensional quasilinear; solvability; quasilinear wave; solvability one ... See more keywords
On a New Criterion for the Solvability of Non-Simple Finite Groups and m-Abelian Solvability
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DOI: 10.1155/2021/5583128
Abstract: This paper is devoted to introduce a sufficient condition for the solvability of finite groups. Also, it presents the concepts of m-abelian and m-cyclic solvability as new generalizations of solvability and polycyclicity, respectively. These new… read more here.
Keywords: new criterion; finite groups; criterion solvability; solvability new ... See more keywords
SOLVABILITY FOR RIEMANN-STIELTJES INTEGRAL BOUNDARY VALUE PROBLEMS OF BAGLEY-TORVIK EQUATIONS AT RESONANCE
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Applied Analysis and Computation"
DOI: 10.11948/20190289
Abstract: Abstract In this paper, we study the solvability for Riemann-Stieltjes integral boundary value problems of Bagley-Torvik equations with fractional derivative under resonant conditions. Firstly, the kernel function is presented through the Laplace transform and the… read more here.
Keywords: solvability; riemann stieltjes; stieltjes integral; boundary value ... See more keywords
Constructive method for solvability of Fredholm equation of the first kind
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DOI: 10.14232/ejqtde.2017.1.45
Abstract: The solvability and construction of the general solution of the first kind Fredholm integral equation are among the insufficiently explored problems in mathematics. There are various approaches to solve this problem. We note the following… read more here.
Keywords: first kind; solvability; equation first; method ... See more keywords
Solvability conditions for mixed sylvester equations in rings
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DOI: 10.2298/fil1718539c
Abstract: This paper has been motivated by Wang and He [Q.W. Wang and Z.H. He, Solvability conditions and general solution for mixed Sylvester equations. Automatica, 49 (2013) 2713-2719] in which the authors consider some solvability conditions for… read more here.
Keywords: conditions mixed; equations rings; solvability; mixed sylvester ... See more keywords
On Solvability of Nonlocal Problem for Loaded Parabolic-Hyperbolic Equation
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DOI: 10.3103/s1066369x18030076
Abstract: We study unique solvability of a nonlocal problem for equations of mixed type in a finite domain. This equation contains the partial fractional Riemann–Liouville derivative. The boundary condition of the problem contains a linear combination… read more here.
Keywords: solvability nonlocal; nonlocal problem; solvability; equation ... See more keywords