A Noncommutative Mikusinski Calculus [PDF]
arXiv, 2012 We set up a left ring of fractions over a certain ring of boundary problems for linear ordinary differential equations. The fraction ring acts naturally on a new module of generalized functions. The latter includes an isomorphic copy of the differential algebra underlying the given ring of boundary problems.
arxiv
Some Results on Ordinary Differential Operators with Periodic Coefficients [PDF]
arXiv, 2014 For a general ordinary differential operator $\mathcal{L}$ with periodic coefficients we prove that the characteristic polynomial of the Floquet matrix is irreducible over the field of meromorphic functions. We also consider a multipoint eigenvalue problem and show that its eigenspaces are spanned by pure or generalized Floquet solutions.
arxiv
A family of singular ordinary differential equations of third order with an integral boundary condition [PDF]
arXiv, 2017 We establish in this paper the equivalence between a Volterra integral equation of second kind and a singular ordinary differential equation of third order with two initial conditions and an integral boundary condition, with a real parameter. This equivalence allow us to obtain the solution to some problems for nonclassical heat equation, the ...
arxiv
Existence results for a coupled system of nonlinear fractional multi-point boundary value problems at resonance. [PDF]
J Inequal Appl, 2018 Zhang Y.
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The generation of chromosomal deletions to provide extensive coverage and subdivision of the Drosophila melanogaster genome. [PDF]
Genome Biol, 2012 Cook RK +7 more
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Construction of lower and upper solutions for first-order periodic problem [PDF]
, 2015 Lu Zhang, Ruyun Ma
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Boundary problems of sequential fractional differential equations having a monomial coefficient. [PDF]
HeliyonYan D.
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On the two-point boundary-value problem for the Riccati matrix differential equation
Open Mathematics, 2005 Laptinsky V., Makovetsky I.
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On the solvability of boundary value problems for some nonlinear systems of ordinary differential equations on R+ [PDF]
, 2017 Vacková, Jitka
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