منابع مشابه
On the Existence of Singular Solutions
Sufficient conditions are given, under which the equation y = f(t, y, y′, . . . , y(l))g(y(n−1)) has a singular solution y [T, τ) → R, τ < ∞ satisfying lim t→τ− y(t) = ci ∈ R, i = 0, 1, . . . , l and lim t→τ− |y(j)(t)| = ∞ for j = l + 1, . . . , n− 1 where l ∈ {0, 1, . . . , n− 2}. 2000 Mathematics Subject Classification: 34C11.
متن کاملExistence of Oscillatory Solutions of Singular Nonlinear Differential Equations
and Applied Analysis 3 Consequently, the condition u′ 0 0 1.11 is necessary for each solution of 1.7 . Denote usup sup{u t : t ∈ 0,∞ }. 1.12 Definition 1.2. Let u be a solution of 1.7 . If usup < L, then u is called a damped solution. If a solution u of 1.7 satisfies usup L or usup > L, then we call u a bounding homoclinic solution or an escape solution. These three types of solutions have been...
متن کاملExistence of solutions for singular fully nonlinear equations
In this note we describe how to approximate some classes of singular equations by nonsingular equations. We obtain a solution to each nonsingular problem and estimates guaranteeing that the limiting function is a solution of the original problem.
متن کاملExistence of Positive Solutions for Singular Eigenvalue Problems
In this paper, we discuss the existence, nonexistence, and multiplicity of positive solutions for a class of singular eigenvalue problems. Some of our theorems are new, while others extend earlier results obtained by Zhang and Kong [12]. The interesting point is that the authors obtain the relation between the existence of solutions and the parameter λ. The arguments are based on the fixed poin...
متن کاملExistence and multiplicity of positive solutions for singular quasilinear problems
In this work we combine perturbation arguments and variational methods to study the existence and multiplicity of positive solutions for a class of singular p-Laplacian problems. In the first two theorems we prove the existence of solutions in the sense of distributions. By strengthening the hypotheses, in the third and last result, we establish the existence of two ordered positive weak soluti...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: gmj
سال: 2001
ISSN: 1572-9176,1072-947X
DOI: 10.1515/gmj.2001.669