Existence and uniqueness of a local solution for x' = f(t,x) using inverse functions
Electronic Journal of Differential Equations, 2013 A condition on the function $f$ is given such that the scalar ordinary differential equation $x' = f(t,x)$ with initial condition $x(t_0) = x_0$ has a unique solution in a neighborhood of $t_0$. An example illustrates that this result can be used when
Jeffrey T. Hoag
doaj
Fides: Reliable trust-region optimization for parameter estimation of ordinary differential equation models. [PDF]
PLoS Comput Biol, 2022 Fröhlich F, Sorger PK.
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A boundary value problem for a system of ordinary linear differential equations of the first order [PDF]
, 1926 Gilbert Ames Bliss
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Molecular Oncology, EarlyView.Analysis of treatment‐naïve high‐grade serous ovarian carcinoma (HGSOC) and control tissues for ERVs, LINE‐1 (L1), inflammation, and immune checkpoints identified five clusters with diverse patient recurrence‐free survivals. An inflammation score was calculated and correlated with retroelement expression, where one novel cluster (Triple‐I) with high ...
Laura Glossner +6 more
wiley +1 more source
Existence of periodic solutions for a semilinear ordinary differential equation
Electronic Journal of Differential Equations, 1998 Dancer [3] found a necessary and sufficient condition for the existence of periodic solutions to the equation $$ ddot x +g_1(dot x) + g_0(x) = f(t),.$$ His condition is based on a functional that depends on the solution to the above equation with $g_0=0$.
Petr Girg
doaj
A nonlinear sparse neural ordinary differential equation model for multiple functional processes. [PDF]
Can J Stat, 2022 Liu Y, Li L, Wang X.
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Molecular Oncology, EarlyView.Non‐small cell lung cancer targeted treatment is limited to a few known genetic alterations, with few alternatives in advanced treatment lines. To direct treatment decisions by drug sensitivity testing (DST), this study compared several methods for tumor cell isolation from malignant effusions, pointing to repeated CD45+ cell depletion for effective ...
Navit Mooshayef +10 more
wiley +1 more source
An existence theorem in the algebraic study of homogeneous linear ordinary differential equations [PDF]
, 1955 M. P. Epstein
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AMICI: high-performance sensitivity analysis for large ordinary differential equation models. [PDF]
Bioinformatics, 2021 Fröhlich F +7 more
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Properties of solutions of an infinite system of ordinary linear differential equations of the first order with auxiliary boundary conditions [PDF]
, 1930 William T. Reid
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