Existence of Solutions of Nonlinear and Non-local Fractional Boundary Value Problems
Sign Up to like & getrecommendations! Published in 2019 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-019-1388-9
Abstract: In this paper, we establish new results for non-local boundary value problems. In particular, we study a fractional differential equation where the associated integral equation has a kernel that is not bounded above and changes… read more here.
Keywords: existence solutions; boundary value; solutions nonlinear; non local ... See more keywords
GENERIC-based formulation and discretization of initial boundary value problems for finite strain thermoelasticity
Sign Up to like & getrecommendations! Published in 2019 at "Computational Mechanics"
DOI: 10.1007/s00466-019-01781-5
Abstract: A new variational formulation for finite strain thermoelastodynamics is proposed. The variational formulation emanates from the GENERIC formalism and makes possible the free choice of the thermodynamic state variable. In particular, one may choose the… read more here.
Keywords: finite strain; state variable; initial boundary; formulation ... See more keywords
Optimization of Boundary Value Problems for Certain Higher-Order Differential Inclusions
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Dynamical and Control Systems"
DOI: 10.1007/s10883-017-9392-5
Abstract: The present paper studies a new class of problems of optimal control theory with special differential inclusions described by higher-order linear differential operators (HLDOs). There arises a rather complicated problem with simultaneous determination of the… read more here.
Keywords: order; differential inclusions; boundary value; higher order ... See more keywords
p-value Problems? An Examination of Evidential Value in Criminology
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Quantitative Criminology"
DOI: 10.1007/s10940-020-09459-5
Abstract: This study aims to assess the evidential value of the knowledgebase in criminology after accounting for the presence of potential Type I errors. The present study examines the distribution of 1248 p-values (that inform 84… read more here.
Keywords: problems examination; value; criminology; criminology value ... See more keywords
Multiple Solutions of Boundary-Value Problems for Hamiltonian Systems
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-018-3847-4
Abstract: We consider two-point boundary-value problems for a Hamiltonian system of the form x′ = f(k, y), y′ = g(x, ????), where k and ???? are parameters. The numbers of solutions, both positive and oscillatory, for… read more here.
Keywords: problems hamiltonian; solutions boundary; boundary value; multiple solutions ... See more keywords
Multiplicity of Positive Solutions to the Boundary-Value Problems for Fractional Laplacians
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-018-4124-2
Abstract: For the problem (−Δ)su=uq−1 in the annulus ΩR = BR+1 \ BR ∈ ℝn, a so-called “multiplicity effect” is established: for each N ∈ ℕ there exists R0 such that for all R ≥ R0… read more here.
Keywords: multiplicity; solutions boundary; positive solutions; boundary value ... See more keywords
Boundary-Value Problems for the Evolutionary Schrödinger Equation. I
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-020-04963-2
Abstract: We prove a series of results on the existence of solutions of boundary-value problems for the Schrodinger equation in the resonance (critical) case. Iterative procedures are proposed for the construction of solutions of the corresponding… read more here.
Keywords: evolutionary schr; boundary value; equation; value problems ... See more keywords
Boundary-value problems for singular p– and p(x)– Laplacian equations in a domain with conical point on the boundary
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-021-05308-3
Abstract: This paper is a survey of our last results about solutions to the Dirichlet and Robin boundary problems, the Robin transmission problem for an elliptic quasilinear second-order equation with the constant p– and variable p(x)-Laplacians,… read more here.
Keywords: equations domain; singular laplacian; boundary value; problems singular ... See more keywords
Symplectic integration of boundary value problems
Sign Up to like & getrecommendations! Published in 2018 at "Numerical Algorithms"
DOI: 10.1007/s11075-018-0599-7
Abstract: Symplectic integrators can be excellent for Hamiltonian initial value problems. Reasons for this include their preservation of invariant sets like tori, good energy behaviour, nonexistence of attractors, and good behaviour of statistical properties. These all… read more here.
Keywords: symplectic integration; value; boundary value; integration boundary ... See more keywords
Irregular Elliptic Boundary-Value Problems and Hörmander Spaces
Sign Up to like & getrecommendations! Published in 2018 at "Ukrainian Mathematical Journal"
DOI: 10.1007/s11253-018-1504-1
Abstract: We study irregular elliptic problems with boundary operators of higher orders and prove that these problems are Fredholm on appropriate pairs of the inner-product Hörmander spaces that form a two-sided refined Sobolev scale. We prove… read more here.
Keywords: problems rmander; irregular elliptic; boundary value; elliptic boundary ... See more keywords
Continuity in the Parameter for the Solutions of One-Dimensional Boundary-Value Problems for Differential Systems of Higher Orders in Slobodetskii Spaces
Sign Up to like & getrecommendations! Published in 2018 at "Ukrainian Mathematical Journal"
DOI: 10.1007/s11253-018-1510-3
Abstract: We introduce the most general class of linear boundary-value problems for systems of ordinary differential equations of order r ≥ 2 whose solutions belong to the Slobodetskii space Wps+rabℂm,$$ {W}_p^{s+r}\left(\left(a,b\right),{\mathbb{C}}^m\right), $$ where m 2 ℕ,… read more here.
Keywords: solutions one; continuity parameter; boundary value; parameter solutions ... See more keywords