[PDF] Top 20 Multiplicity of positive solutions to second-order singular differential equations with a parameter
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Multiplicity of positive solutions to second-order singular differential equations with a parameter
... periodic solutions under the presence of a weak singularity is more recent, but has also attracted many researchers [, , , ...lower solutions [, ], Schauder’s fixed point theorem [, ], some fixed ... See full document
12
Positive solutions of periodic boundary value problems for the second-order differential equation with a parameter
... of solutions for differential equations has been widely stud- ied by many scholars in the mathematical sense (see [–] and the references ...and multiplicity of positive solutions for ... See full document
11
Positive solutions for classes of multi-parameter fourth-order impulsive differential equations with one-dimensional singular p-Laplacian
... and multiplicity results are derived in terms of different values of λ > 0 and μ > ...cover equations without impulsive effects and are compared with some recent ... See full document
16
Deviating arguments, impulsive effects, and positive solutions for second order singular p Laplacian equations
... with second order p-Laplacian equa- tions with deviating arguments, especially for second order p-Laplacian equations with impulsive ... See full document
24
Existence of positive periodic solutions of second-order differential equations with weak singularities
... Recently, Torres [] showed how a weak singularity can play an important role if Schauder’s fixed point theorem is chosen in the proof of the existence of positive periodic solutions for (.). From now on, ... See full document
8
Positive Solutions for Fourth-Order Singular -Laplacian Differential Equations with Integral Boundary Conditions
... Boundary value problems with integral boundary conditions arise in variety of different areas of applied mathematics and physics. For example, heat conduction, chemical engineering, underground water flow, ... See full document
23
Positive periodic solutions for second order differential equations with impulsive effects
... differential equations has been a significant development in the last two ...Periodic solutions and periodic boundary value problems of impulsive differential equations have received considerable ... See full document
15
Multiplicity of solutions for second order impulsive differential equations with Sturm Liouville boundary conditions
... Thus, the solutions of problem (.) are the corresponding critical points of ϕ. Lemma . If u ∈ X is a weak solution of (.), then u is a classical solution of (.). Proof The proof is similar to []. For any ... See full document
13
Positive solutions of a system for nonlinear singular higher-order fractional differential equations with fractional multi-point boundary conditions
... and multiplicity of positive solutions of the singular frac- tional multi-point boundary problems () by using fixed point index theory in a ... See full document
18
On positive solutions for a class of singular nonlinear fractional differential equations
... In this section, we recall some basic definitions and properties from fractional calculus theory. For more details about fractional calculus, we refer the readers to [, , ]. Definition . The Riemann-Liouville ... See full document
11
Multiple positive solutions to singular fractional differential equations with integral boundary conditions involving \(p q\) order derivatives
... In this paper, we obtained several sufficient conditions for the existence of positive solu- tions for nonlinear fractional differential equation involving integral boundary conditions. Our results will be a useful ... See full document
13
Positive Solutions of Singular Multipoint Boundary Value Problems for Systems of Nonlinear Second-Order Differential Equations on Infinite Intervals in Banach Spaces
... of positive solutions see, ...of second-order differential equation are rarely ...following singular m-point boundary value problem on an infinite interval in a Banach space ... See full document
22
Positive solutions to second-order differential equations with dependence on the first-order derivative and nonlocal boundary conditions
... multiple positive solutions to problems of type ...when positive solutions have been investigated for such general boundary value problems with functionals λ , λ and with deviating ... See full document
21
Positive Periodic Solutions of Second Order Functional Differential Equation with Impulses
... a second order impulsive functional differential ...of multiplicity positive periodic solutions are ...functional differential equations, for example ... See full document
6
Positive solutions for second order impulsive differential equations with Stieltjes integral boundary conditions
... and second authors were supported financially by the National Natural Science Foundation of China (11071141, 11126231) and the Natural Science Foundation of Shandong Province of China (ZR2010AM017, ... See full document
18
Positive Solutions to Singular and Delay Higher-Order Differential Equations on Time Scales
... The paper is organized as follows. In Section 2, we give some lemmas, which will be required in the proof of our main theorem. In Section 3, we prove some theorems on the existence of positive solutions for ... See full document
19
Positive solutions for nonlinear second order differential equations with singularities
... is positive, it has been proved in [3] with e(x) ≡ 0 has at least one positive periodic solution when f (x, y) has a repulsive singu- larity near y = 0 and f (x, y) is superlinear near y = ... See full document
14
Limit Properties of Solutions of Singular Second-Order Differential Equations
... To illustrate the solution behaviour, described by Theorems 3.3 and 3.5, we have carried out a series of numerical calculations on a MATLAB software package bvpsuite designed to solve boundary value problems in ordinary ... See full document
28
Homoclinic Solutions of Singular Nonautonomous Second-Order Differential Equations
... the second-order on the half-line,” in Mathematical Models in Engineering, Biology and Medicine: International Conference on Boundary Value Problems, ... See full document
21
Existence and continuity of positive solutions on a parameter for second-order impulsive differential equations
... It is not difficult to prove that H ∗ (t, s) and G ∗ (t, s) have similar properties to those of H(t, s) and G(t, s). However, we cannot guarantee that H ∗ (t, s) > for any t, s ∈ J. This implies that we cannot apply ... See full document
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