Results 61 to 70 of about 37,007 (164)

Existence for Singular Periodic Problems: A Survey of Recent Results

Abstract and Applied Analysis, 2013
We present a survey on the existence of periodic solutions of singular differential equations. In particular, we pay our attention to singular scalar differential equations, singular damped differential equations, singular impulsive differential ...
Jifeng Chu, Juntao Sun, Patricia J. Y. Wong   +2 more
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Exact behavior of singular solutions to Protter's problem with lower order terms

Electronic Journal of Differential Equations, 2012
For the (2+1)-D wave equation Protter formulated (1952) some boundary value problems which are three-dimensional analogues of the Darboux problems on the plane. Protter studied these problems in a 3-D domain, bounded by two characteristic cones and by
Aleksey Nikolov, Nedyu Popivanov
doaj  

Positive and Dead-Core Solutions of Two-Point Singular Boundary Value Problems with ϕ-Laplacian

Advances in Difference Equations, 2010
The paper discusses the existence of positive solutions, dead-core solutions, and pseudo-dead-core solutions of the singular problem (ϕ(u′))′=λf(t,u,u′), u(0)-αu′(0)=A, u(T)+βu′(0)+&#
Svatoslav Staněk
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Dead Core Problems for Singular Equations with φ-Laplacian

Boundary Value Problems, 2007
The paper discusses the existence of positive solutions, dead core solutions, and pseudo dead core solutions of the singular problem (φ(u′))′+f(t,u′)=λg(t,u,u′), u′(0)=0, βu′(T)+αu(T)=A.
Svatoslav Staněk, Donal O'Regan, Ravi P. Agarwal   +2 more
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Comparison theorems for ultrahyperbolic equations

International Journal of Mathematics and Mathematical Sciences, 1978
Sturmian comparison theorems are obtained for solutions of a class of normal and singular ultrahyperbolic partial differential equations. In the singular case, solutions are considered which satisfy non-standard boundary conditions.
C. C. Travis, E. C. Young
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Singular solutions to Protter's problem for the 3-D wave equation involving lower order terms

Electronic Journal of Differential Equations, 2003
In 1952, at a conference in New York, Protter formulated some boundary value problems for the wave equation, which are three-dimensional analogues of the Darboux problems (or Cauchy-Goursat problems) on the plane.
Myron K. Grammatikopoulos, Tzvetan D. Hristov, Nedyu I. Popivanov   +2 more
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On existence of singular solutions

Journal of Mathematical Analysis and Applications, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Uniqueness of a very singular solution to nonlinear degenerate parabolic equations with absorption for Dirichlet boundary condition

Electronic Journal of Differential Equations, 2016
We prove the existence and uniqueness of singular solutions (fundamental solution, very singular solution, and large solution) of quasilinear parabolic equations with absorption for Dirichlet boundary condition. We also show the short time behavior of
Nguyen Anh Dao
doaj  

A Singular Tempered Sub-Diffusion Fractional Equation with Changing-Sign Perturbation

Axioms
In this paper, we establish some new results on the existence of positive solutions for a singular tempered sub-diffusion fractional equation involving a changing-sign perturbation and a lower-order sub-diffusion term of the unknown function.
Xinguang Zhang, Jingsong Chen, Lishuang Li, Yonghong Wu   +3 more
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Potentially singular solutions of the 3D axisymmetric Euler equations. [PDF]

Proc Natl Acad Sci U S A, 2014
Luo G, Hou TY.
europepmc   +1 more source