Results 231 to 240 of about 58,847 (264)

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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REGULARITY OF SOLUTIONS FOR SINGULAR SCHRÖDINGER EQUATIONS

Reviews in Mathematical Physics, 1992
Local and global regularity properties of weak solutions of the Schrödinger equation −Δu+qu=λu play an important role in the spectral theory of the corresponding operator [Formula: see text]. Central among these properties is local boundedness of the solutions u, which is derived in an elementary way for potentials q whose negative parts q− lie in the
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Singular Perturbation Solutions of a Class of Systems of Singular Integral Equations

SIAM Journal on Applied Mathematics, 2001
The authors examine a new class of systems of strongly singular integrodifferential equations which emerges in the study of the bridged interface crack growth.
Luqun Ni, Sia Nemat-Nasser
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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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Singular equation with positive solution based on the perturbation of domains method

Journal of Mathematical Analysis and Applications, 2021
Matheus Stapenhorst, Marcelo Montenegro   +1 more
exaly  

Upper and Lower Solution Method for a Singular Tempered Fractional Equation with a p-Laplacian Operator

Fractal and Fractional, 2023
Xinguang Zhang, Yong Wu, Zhang Xinguang   +2 more
exaly  

A singular solution of the capillary equation

Inventiones Mathematicae, 1975
Finn Robert
exaly   +2 more sources

Singular Solutions

1992
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Periodic solution generated by impulses for singular differential equations

Journal of Mathematical Analysis and Applications, 2013
Juntao Sun
exaly  

Existence of positive solution for singular fractional differential equation

Applied Mathematics and Computation, 2009
Zhanbing Bai
exaly