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Singular Solutions of Certain Integral Equations
Journal of Mathematical Physics, 1966A class of integral equations arising in some idealized plasma problems is discussed. While these do not have solutions in the space of square-integrable functions, they do have such in an appropriate space of generalized functions. Explicit solutions are given in some special cases. It is then shown how these solutions can be used to approximate those
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Filippov Solutions to Singular Differential Equations
SIAM Journal on Mathematical Analysis, 1987The author considers the system \[ (1)\quad x^ 1- f(t,x,y)=0,\quad^{\epsilon}y^ 1-y(t,x,y)=0,\quad x(t_ 0)-x_ 0,\quad y(t_ 0)=y_ 0 \] where x is in \(R^ n\), y in \(R^ p\) and f and g are functions defined on some subsets of \(R\times R^ n\times R^ p\) with values of \(R^ n\) and \(R^ p\), respectively whose limit is \[ (2)\quad x^ 1-f(t,x,y)=0,\quad g(
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Peaked singular wave solutions associated with singular curves
Chaos, Solitons & Fractals, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Lipid biomarkers: molecular tools for illuminating the history of microbial life
Nature Reviews Microbiology, 2021Roger Everett Summons +2 more
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Fundamentals and developments in fluorescence-guided cancer surgery
Nature Reviews Clinical Oncology, 2021Friso Achterberg +2 more
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Singular angular magnetoresistance in a magnetic nodal semimetal
Science, 2019Takehito Suzuki +2 more
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