Multiple Solutions of Nonlinear Boundary-value Problems for Ordinary Differential Equations

Kirichuka, A.

doi:10.1007/s10958-015-2282-z

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2018

2021

Publication Types

Select...

Article2

Relationship

Self Cite1

Independent1

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 2 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…that contain only the quadratic or cubic nonlinearity. The Equation (1) contains Equation ( 4) and (5) that were studied previously in (Kirichuka & Sadyrbaev, 2019), (Kirichuka, 2018), (Kirichuka, 2017), (Kirichuka, 2013), (Ogorodnikova & Sadyrbaev, 2006) and are included often in textbooks. We are not aware however of precise estimation of the number of solutions for the two-point BVP (1), (2).…”

Section: Introductionmentioning

confidence: 99%

Wolfram Mathematica application to determination of the number of solutions for certain nonlinear boundary value problems

Kirichuka

2021

RMS: Research in Mathematics & Statistics

Self Cite

View full text Add to dashboard Cite

The nonlinear boundary value problem (BVP) x 00 ¼ À ax þ qðtÞ x φðxÞ, where φðxÞ ¼ x or φðxÞ ¼ x 2 , x 0 ðÀ 1Þ ¼ x 0 ð1Þ ¼ 0 with step-wise function qðtÞ, is studied. The number of nontrivial solutions for the problem is estimated. For the case, where qðtÞ ¼ b ¼ const > 0, the exact number of solutions for the boundary value problem is given. With the help of Wolfram Mathematica, the examples show several ways to determine the number of solutions for BVP.

show abstract

Section: Introductionmentioning

confidence: 99%