✦ LIBER ✦

Positive solutions to singular initial value problems with sign changing nonlinearities

✍ Scribed by R.P. Agarwal; D. O'Regan

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 495 KB
Volume: 28
Category: Article
ISSN: 0895-7177
DOI: 10.1016/s0895-7177(98)00096-x

No coin nor oath required. For personal study only.

✦ Synopsis

We present two new existence reeults for the initial value problem d = q(t)f(t,g), 0 < t < T, with y(O) = 0. The nonlinearity f is allowed to change sign and singularities at y = 0 and/or t = 0 are dimmed.

📜 SIMILAR VOLUMES

Positive solutions of singular dirichlet

Positive solutions of singular dirichlet boundary value problems with sign-changing nonlinearities

✍ G.C. Yang 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 323 KB

By a new approach, we present a new existence result of positive solutions to the following Dirichlet boundary value problem, It is remarkable that the result of this paper is not obtained by employing the fixed-point theorems in cone and the method of the lower and upper functions. Our nonlinearit

Nonnegative solutions of singular bounda

Nonnegative solutions of singular boundary value problems with sign changing nonlinearities

✍ R.P. Agarwal; S. Staněk 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 639 KB

Multiple positive solutions for higher-o

Multiple positive solutions for higher-order boundary value problems with sign changing nonlinearities

✍ Yanping Guo; Yujun Zhu; Jiqing Qiu 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 392 KB

For the 2nth-order boundary value problem c~y (2i) (0) -fliy (2i+1) (0) = a~y (2i) (1) +/3~y (2i+1) (1) = 0, O 1, growth conditions are imposed on f which yield the existence of at least two symmetric positive solutions by using the fixed-point theorem in double cones.

Existence Criteria for Singular Boundary

Existence Criteria for Singular Boundary Value Problems with Sign Changing Nonlinearities

✍ Ravi P. Agarwal; Donal O'Regan 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 196 KB

Positive solution for three-point bounda

Positive solution for three-point boundary value problems with sign changing nonlinearities

✍ Jingli Ren; Weigao Ge 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 326 KB

By constructing available operators, some new existence theorems of positive solutions are obtained for a class of three-point boundary value problems u"+Ah(t)f(t,u)=O, 0<t<l, ~(0) -Z~'(0) = 0, u(1) = ~(~), where f is allowed to change sign, ~ C (0,1). The associated Green's function for the above p

Positive solutions to a type of nonlinea

Positive solutions to a type of nonlinear three-point boundary value problem with sign changing nonlinearities

✍ Gaoshang Li; Xiping Liu; Mei Jia 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 497 KB

In this paper, by using Krasnoselskii's Fixed Point Theorem in a cone, we study the existence of positive solutions for the second-order three-point boundary value problem where 0 < α, η < 1 and f is allowed to change sign. We also give some examples to illustrate our results.