Results 271 to 280 of about 3,020,455 (306)

On the Solution of a Singular Integral Equation

Differential Equations, 2003
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C-singular solutions of the capillary problem

Journal für die reine und angewandte Mathematik (Crelles Journal), 1999
Summary: The problem of determining the surface interface of fluid partly filling a semi-infinite capillary tube closed at one end is considered, in the absence of gravity. It is known that solutions of the formal equations for a solution as a graph covering the base do not in general exist. In this paper it is shown that whenever smooth solutions fail
Finn, Robert, Neel, Robert Weston
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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 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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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 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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Solutions in the vicinity of the singularity

1995
Abstract As ∞ is an irregular singular point of the THE one might not expect convergent (ramified) series solutions near this point but only formal ones. Here is a precise statement:
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Upper and Lower Solution Method for a Singular Tempered Fractional Equation with a p-Laplacian Operator

Fractal and Fractional, 2023
Xinguang Zhang, Yonghong Wu
exaly  

Singular Solutions

1992
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Positive solutions for Dirichlet problems of singular nonlinear fractional differential equations

Journal of Mathematical Analysis and Applications, 2010
Donal O'Regan, Ravi Agarwal, Svatoslav Stanek   +2 more
exaly