Results 1 to 10 of about 3,623,843 (344)

Multiple Solutions of Singular Perturbation Problems [PDF]

open access: yesSIAM Journal on Mathematical Analysis, 1972
Under certain conditions on g(x, u) we establish the existence and asymptotic behavior for small ε > 0 of multiple asymptotic solutions of the nonlinear boundary value problem εu" + u’ - g(x,u) = 0, 0 < x < 1, u’(0) - au(0)= A ≥ 0, a > 0, u’(1) + bu(
Cohen, Donald S.
core   +5 more sources

Multiple solutions to the double phase problems involving concave-convex nonlinearities

open access: yesAIMS Mathematics, 2023
This paper is concerned with several existence results of multiple solutions for Schrödinger-type problems involving the double phase operator for the case of a combined effect of concave-convex nonlinearities.
Jae-Myoung Kim, Yun-Ho Kim
doaj   +1 more source

Multiple solutions for a class of boundary value problems of fractional differential equations with generalized Caputo derivatives

open access: yesAIMS Mathematics, 2021
This paper is mainly concerned with the existence of multiple solutions for the following boundary value problems of fractional differential equations with generalized Caputo derivatives: $ \hskip 3mm \left\{ \begin{array}{lll} ^{C}_{0}D^{\alpha}_{g}
Yating Li, Yansheng Liu
doaj   +1 more source

CNV Radar: an improved method for somatic copy number alteration characterization in oncology

open access: yesBMC Bioinformatics, 2020
Background Cancer associated copy number variation (CNV) events provide important information for identifying patient subgroups and suggesting treatment strategies.
David Soong   +15 more
doaj   +1 more source

On double phase Kirchhoff problems with singular nonlinearity

open access: yesAdvances in Nonlinear Analysis, 2023
In this paper, we study multiplicity results for double phase problems of Kirchhoff type with right-hand sides that include a parametric singular term and a nonlinear term of subcritical growth.
Arora Rakesh   +3 more
doaj   +1 more source

Multiple solutions of nonlinear boundary value problems with oscillatory solutions

open access: yesMathematical Modelling and Analysis, 2006
We consider two second order autonomous differential equations with critical points, which allow the detection of an exact number of solutions to the Dirichlet boundary value problem.
S. Ogorodnikova, F. Sadyrbaev
doaj   +1 more source

Multiple solutions and periodic oscillations in nonlinear diffusion processes [PDF]

open access: yes, 1973
We study the oscillatory stationary states in the temperature and concentration fields occurring in tubular chemical reactors. Singular perturbation and multitime scale procedures are combined formally to clearly and simply reveal the mechanism ...
Cohen, Donald S.
core   +1 more source

Multiplicity results for a class of $p(x)$-Kirchhoff type equations with combined nonlinearities

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2012
Using the mountain pass theorem combined with the Ekeland variational principle, we obtain at least two distinct, non-trivial weak solutions for a class of $p(x)$-Kirchhoff type equations with combined nonlinearities.
Nguyen Thanh Chung
doaj   +1 more source

Multiple positive solutions to elliptic boundary blow-up problems [PDF]

open access: yes, 2016
We prove the existence of multiple positive radial solutions to the sign-indefinite elliptic boundary blow-up problem \[ \left\{\begin{array}{ll} \Delta u + \bigl(a^+(\vert x \vert) - \mu a^-(\vert x \vert)\bigr) g(u) = 0, & \; \vert x \vert < 1, \\ u(x)
Aftalion   +44 more
core   +2 more sources

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