On a Method of Studying Identification Problems for Second Order Equations
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Applied and Industrial Mathematics"
DOI: 10.1134/s1990478919010022
Abstract: Some method is proposed for studying the identification problems for second-order equations of evolutionary type, in particular, parabolic.We give the new representations of solutions and coefficients of such type of equations using integral transformations. read more here.
Keywords: order equations; studying identification; identification problems; problems second ... See more keywords
Existence of solutions for functional boundary value problems of second-order nonlinear differential equations system at resonance
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DOI: 10.1186/s13662-017-1307-y
Abstract: In this paper, by using the coincidence degree theory due to Mawhin and constructing suitable operators, we study the solvability for functional boundary value problems of second-order nonlinear differential equations system at resonance with dimKerL=3$\dim\operatorname{Ker}… read more here.
Keywords: second order; functional boundary; boundary value; order nonlinear ... See more keywords
Dirichlet problems for second order linear elliptic equations with $ L^{1} $-data
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DOI: 10.3934/cpaa.2023051
Abstract: We consider the Dirichlet problems for second order linear elliptic equations in non-divergence and divergence forms on a bounded domain $\Omega$ in $\mathbb{R}^n$, $n \ge 2$: $$ -\sum_{i,j=1}^n a^{ij}D_{ij} u + b \cdot D u… read more here.
Keywords: linear elliptic; elliptic equations; order linear; dirichlet problems ... See more keywords