Regular Singular Points of Second Order Equations
Regular approximations of isolated eigenvalues of singular second order symmetric linear difference equations
... and second-order symmetric lin- ear difference equations are ...induced regular self-adjoint sub- space extensions for any given self-adjoint subspace extension are ...spectral points. ...
29
On positive periodic solutions of second order singular equations
... x→x lim 0 f (t, x) = +∞, uniformly in t ∈ R. During the last two decades, the existence of nontrivial periodic solutions of (1.1) has been studied by many researchers in nonsingular case as well as singular case. ...
10
Boundary value problems for singular second order equations
... of singular or non-surjective operators (see [1, 8, ...reaction-diffusion equations with non-constant diffusivity and porous media equations, include mixed differential operators, that is, ...
22
Dirichlet problem for elliptic equations of the second order in a singular
... 1. Introduction. I n th is p a p e r w e tr e a t t h e regularity of solu tio ns o f th e D irich let problem for elliptic equations of the second order in a domain with edges. In th e c a s e w ...
17
Homoclinic Solutions of Singular Nonautonomous Second-Order Differential Equations
... This paper investigates the singular differential equation ptu ptfu, having a singularity at t 0. The existence of a strictly increasing solution a homoclinic solution satisfying u 0 0, u∞ L > 0 is proved provided ...
21
Limit Properties of Solutions of Singular Second-Order Differential Equations
... differential equations where f has jump discontinuities at a discrete set of points in 0, T , compare ...has singular points also in u and u ...
28
Multiplicity of positive solutions to second-order singular differential equations with a parameter
... for second-order nonlinear damped differential equations by combing the analysis of positiveness of the Green function for a linear damped ...be singular in its dependent ...
12
Recent Existence Results for Second-Order Singular Periodic Differential Equations
... for singular equation ...the second existence result is established by using a well-known fixed point theorem in ...periodic equations is positive, and therefore the results cannot cover the critical ...
20
On regular and singular points of the minimum time function
... Proof. Fix 0 < τ < ¯ τ and let E be a subset of S ∩ bdryR(τ) with full H N −(k+1) -measure with the property (4.3.18). Then the optimal trajectories for the reversed dynamics through each point of E from a subset of S ...
105
The nonlinear Kneser problem for singular in phase variables second-order differential equations
... Sufficient conditions for the solvability of the Kneser-type problems for nonlinear dif- ferential systems were obtained by Chanturia [], Coffman [], Hartman and Wintner [], Kiguradze and Rachůnková [], and ...
17
A shooting method for singular nonlinear second order Volterra integro differential equations
... The method of parallel shooting will be employed to solve nonlinear second order singular Volterra integro-differential equations with two point boundary conditions.. KEY WORDS AND PRRAS[r] ...
10
The distribution of nonprincipal eigenvalues of singular second order linear ordinary differential equations
... the singular problem x + λq(t)x = 0 on an infinite interval [a, + ∞ ...the regular eigenvalue problem on compact intervals, we can prove a Weyl-type expansion of the eigenvalue counting function, and we ...
7
Classification and criteria of the limit cases for singular second-order linear equations on time scales
... for singular second-order linear equations on time ...the equations are divided into two cases: the limit-point and limit-circle cases just like the continuous and discrete ...of ...
17
Modified Laplace Decomposition Method for Singular IVPs in the second-Order Ordinary Differential Equations
... In recent years, studies of initial value problems in the second order or- dinary differential equations (ODEs) have been attracted the attention of many mathematicians and physicists. A large amount ...
9
Asymptotics of solutions of second order parabolic equations near conical points and edges
... a second order parabolic equation with variable coefficients in a domain with conical points or ...the second part of the paper, which deals with the initial-boundary value problem in this ...
37
First-Order Singular and Discontinuous Differential Equations
... solutions regular problems , and we give some ...3 singular problems , which requires the addition of some assumptions over the lower and upper ...for singular quasimonotone systems in Section 6 and ...
25
and second-order differential equations
... Proposition 6.1. Let M be a manifold with a pseudoconvex and disprisoning SODE S. If S has no conjugate points, then M is geodesically connected. Let M be a manifold with a SODE S and let f M be a covering ...
19
Positive Solutions of Singular Initial-Boundary Value Problems to Second-Order Functional Differential Equations
... be singular at t 0 for ϕ ∈ C − {0}, when ft, ϕ satisfies lim t→0 ft, ϕ ∞ for ϕ ∈ C − {0} and ft, ϕ is said to be singular at ϕ 0 for t ∈ 0, 1 when ft, ϕ satisfies lim ϕ →0 ft, ϕ ∞ for t ∈ 0, ...
12
Deviating arguments, impulsive effects, and positive solutions for second order singular p Laplacian equations
... with second order singular p-Laplacian equations with impulsive effects and deviating arguments, several new and more general results are obtained for the existence of at least single, twin or ...
24
Classification and criteria of limit cases for singular second order linear equations with complex coefficients on time scales
... for singular second-order linear equations with complex coefficients on time ...of equations is classified into cases I, II, and ...
21