Results 21 to 30 of about 120 (57)
Periodic solutions to the Liénard type equations with phase attractive singularities
, 2013 Sufficient conditions are established guaranteeing the existence of a positive ω-periodic solution to the equation u″+f(u)u′+g(u)=h(t,u), where f,g:(0,+∞)→R are continuous functions with possible singularities at zero and h:[0,ω]×R→R is a Carathéodory ...
R. Hakl, M. Zamora
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Global behavior of positive solutions for some semipositone fourth-order problems
Advances in Difference Equations, 2018 In this paper, we study the global behavior of positive solutions of fourth-order boundary value problems {u′′′′=λf(x,u),x∈(0,1),u(0)=u(1)=u″(0)=u″(1)=0, $$ \textstyle\begin{cases} u''''=\lambda f(x,u), \quad x\in (0,1), \\ u(0)=u(1)=u''(0)=u''(1)=0 ...
Dongliang Yan, Ruyun Ma
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Existence of positive solutions to a non-positive elastic beam equation with both ends fixed
, 2012 This article is concerned with the existence of nontrivial solutions for a non-positive fourth-order two-point boundary value problem (BVP) and the existence of positive solutions for a semipositive fourth-order two-point BVP.
Haixia Lu, Li Sun, Jin-sheng Sun
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On positive solutions for a class of singular nonlinear fractional differential equations
, 2012 We study the existence and uniqueness of a positive solution for the singular nonlinear fractional differential equation boundary value problem D0+αu(t)=f(t,u(t),u(t ...
M. Jleli, B. Samet
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Nonlinear fourth order boundary value problem
Boundary Value Problems, 2014 In this paper we consider a nonlinear boundary value problem generated by a fourth order differential equation on the semi-infinite interval in which the lim-4 case holds for fourth order differential expression at infinity.
Ş. Yardımcı, Ekin Uğurlu
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A Counterexample for Singular Equations with Indefinite Weight
Advanced Nonlinear Studies, 2017 We construct a second-order equation x¨=h(t)/xp{\ddot{x}=h(t)/x^{p}}, with p>1{p>1} and the sign-changing, periodic weight function h having negative mean, which does not have periodic solutions.
Ureña Antonio J.
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Advanced Nonlinear Studies, 2019 Efficient conditions guaranteeing the existence and multiplicity of T-periodic solutions to the second order differential equation u′′=h(t)g(u){u^{\prime\prime}=h(t)g(u)} are established.
Hakl Robert, Zamora Manuel
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Positive blow-up solutions of nonlinear models from real world dynamics
Boundary Value Problems, 2014 In this paper, we investigate the structure and properties of the set of positive blow-up solutions of the differential equation (tkv′(t))′=tkh(t,v(t)), t∈(0,T]⊂R, where k∈(1,∞).
J. Gschwindl +3 more
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Positive solutions of nonlinear Dirichlet BVPs in ODEs with time and space singularities
Boundary Value Problems, 2013 In this paper, we discuss the existence of positive solutions to the singular Dirichlet boundary value problems (BVPs) for ordinary differential equations (ODEs) of the form u″(t)+atu′(t)−at2u(t)=f(t,u(t),u′(t)),u(0)=0,u(T)=0, where a∈(−1,0).
I. Rachunková +3 more
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Application of p-regularity theory to nonlinear boundary value problems
, 2013 The paper studies the question of solution existence to a nonlinear equation in the degenerate case. This question is studied for three particular boundary value problems for ordinary and partial second-order differential equations.
Wiesław Grzegorczyk +2 more
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