Results 291 to 300 of about 592,249 (330)

Numerical Solutions of Singular Fredholm Equations

Journal of Mathematical Physics, 1966
A singular Fredholm equation of the second kind is solved numerically by a Fourier series analysis in which the singularity is removed naturally, and by a Gaussian quadrature procedure in which the singularity was eliminated by an approximation using the law of the mean.
Ullmann, N., Ullmann, R.
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Singular solutions in elasticity

Acta Mechanica, 1967
General solutions of the time-independent equations of motion for linear elasticity with couplestresses are studied. The completeness of a displacement potential similar to theGalerkin-Somigliana representation is proved. The fundamental singular solution of the field equations is defined with the aid of the reciprocal work theorem.
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Perturbation of Solutions with Moving Singularities

Theoretical and Mathematical Physics, 2001
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Distributional Solutions of Singular Integral Equations

2000
The authors give a detailed and unified treatment of distributional solutions for singular integral equations and related functional equations. Several interesting function spaces are defined including function spaces of mixed types. These mixed type function spaces satisfy the condition that there is one function space at one end point and a different
Estrada, R., Kanwal, R. P.
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Singular Perturbation Solutions of Noisy Systems

SIAM Journal on Applied Mathematics, 1995
Summary: Recent work on singular perturbation solutions that persist in the presence of noise is described. Two different settings are considered: small deviation theory in quasi-static problems, where there are small amplitude but highly irregular perturbations, and averaging problems where there are ergodic stochastic perturbations. In the first case,
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Singular Solutions of Certain Integral Equations

Journal of Mathematical Physics, 1966
A 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, 1987
The 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, 2007
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Designing modern aqueous batteries

Nature Reviews Materials, 2022
Yanliang Liang, Yan Yao
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Molecular engineering of contact interfaces for high-performance perovskite solar cells

Nature Reviews Materials, 2022
Furkan H Isikgor, Shingis Zhumagali, Iain McCulloch   +2 more
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