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Three Positive Solutions

Existence of Three Positive Solutions of Semipositone Boundary Value Problems on Time Scales

Existence of Three Positive Solutions of Semipositone Boundary Value Problems on Time Scales

... multiple positive solutions for the above Sturm-Liouville boundary value problems for second order differential ...of three positive ...of positive solutions when the ...

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Existence of three positive solutions for nonsmooth
functional involving the p-biharmonic operator

Existence of three positive solutions for nonsmooth functional involving the p-biharmonic operator

... of positive solutions for a Navier boundary value problem involving the p-biharmonic operator; the right hand side of problem is a nonsmooth functional with variable ...least three positive ...

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Three positive solutions for second-order periodic boundary value problems with sign-changing weight

Three positive solutions for second-order periodic boundary value problems with sign-changing weight

... where q ∈ C([0, 2 π ], [0, + ∞ )) with q ≡ 0, f ∈ C( R , R ), the weight h ∈ C[0, 2 π ] is a sign-changing function, λ is a parameter. We prove the existence of three positive solutions when h(t) has ...

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Existence of Multiple Positive Solutions for Third Order Three Point Boundary Value Problem

Existence of Multiple Positive Solutions for Third Order Three Point Boundary Value Problem

... To our best knowledge, few papers can be found in the literature for three positive solutions of third-order three-point boundary value problems. Moti- vated greatly by the above-mentioned ...

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Existence of Symmetric Positive Solutions for an-Point Boundary Value Problem

Existence of Symmetric Positive Solutions for an-Point Boundary Value Problem

... where α > 0, β ≥ 0, and the coefficient h(t) may be singular at both end points t = 0 and t = 1. The main tool is the monotone iterative technique. Very recently, by using the Leggett-Wiliams fixed point theorem and a ...

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Positive Green’s function and triple positive solutions of a second-order impulsive differential equation with integral boundary conditions and a delayed argument

Positive Green’s function and triple positive solutions of a second-order impulsive differential equation with integral boundary conditions and a delayed argument

... a second-order impulsive differential equation with integral boundary conditions and a delayed argument. Furthermore, applying Legget-William’s fixed point theorem and Hölder’s inequality, we obtain the existence results ...

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Existence and Uniqueness of Positive Solution for Third Order Three Point Boundary Value Problems

Existence and Uniqueness of Positive Solution for Third Order Three Point Boundary Value Problems

... of solutions or positive solutions for nonlinear singular or nonsingular three-point boundary value problems for third-order ordinary differential equations has been studied extensively in the ...

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Existence of positive solutions for second order impulsive differential equations with delay and three point boundary value problem

Existence of positive solutions for second order impulsive differential equations with delay and three point boundary value problem

... of three positive solutions to a type of three-point boundary value problems for second-order impulsive and delay differential equations, and we obtain the result that there exist at least ...

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Existence of concave symmetric positive solutions for a three point boundary value problems

Existence of concave symmetric positive solutions for a three point boundary value problems

... 9. Sun, B, Ge, W, Zhao, D: Three positive solutions for multipoint one-dimensional p-Laplacian boundary value problems with dependence on the first order derivative. Math. Comput. Model. 45, 1170-1178 ...

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Existence Theorem about Triple Positive Solutions for a Boundary Value Problem  with p Laplacian

Existence Theorem about Triple Positive Solutions for a Boundary Value Problem with p Laplacian

... In this paper, by applying a fixed point theorem to verify the existence of at least three positive solutions to a three-point boundary value problem with p-Laplacian. The interesting point is ...

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Existence and multiplicity of positive solutions for a class of fractional differential equations with three point boundary value conditions

Existence and multiplicity of positive solutions for a class of fractional differential equations with three point boundary value conditions

... u ∈ K with ρ < u < τ by the properties of index. Hence, the boundary value problem (.)-(.) has at least one positive solution on [, ]. The proof is completed. Now we study the multiplicity of ...

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The Existence of Countably Many Positive Solutions for Nonlinear th-Order Three-Point Boundary Value Problems

The Existence of Countably Many Positive Solutions for Nonlinear th-Order Three-Point Boundary Value Problems

... of positive solutions for nonlinear second-order and higher-order multipoint boundary value problems has been studied by several authors, for example, see 1–12 and the references ...of positive ...

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The existence and multiplicity of positive solutions of nonlinear sixth-order boundary value problem with three variable coefficients

The existence and multiplicity of positive solutions of nonlinear sixth-order boundary value problem with three variable coefficients

... u(0) = u(L) = u (0) = u (L) = u (4) (0) = u (4) (L) = 0, (1 : 2) where A, B, and C are some given real constants and f(x, u) is a continuous function on R 2 , is motivated by the study for stationary solutions of ...

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Infinitely many singularities and denumerably many positive solutions for a second-order impulsive Neumann boundary value problem

Infinitely many singularities and denumerably many positive solutions for a second-order impulsive Neumann boundary value problem

... Using a fixed point theorem of cone expansion and compression of norm type and a new method to deal with the impulsive term, we prove that the second-order singular impulsive Neumann boundary value problem has denumerably ...

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Positive solutions for fractional differential equations with three point multi term fractional integral boundary conditions

Positive solutions for fractional differential equations with three point multi term fractional integral boundary conditions

... The rest of this paper is organized as follows. In Section  we present some necessary basic knowledge and definitions for fractional calculus theory and give the corresponding Green’s function of boundary value problem ...

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Positive solutions of the three point boundary value problem for fractional order differential equations with an advanced argument

Positive solutions of the three point boundary value problem for fractional order differential equations with an advanced argument

... As far as we know, fractional order differential equations with deviated arguments have not been much studied and many aspects of these equations are yet to be explored. For some recent work on equations of fractional ...

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Three Positive Periodic Solutions for a Class of Higher Dimensional Functional Differential Equations with Impulses on Time Scales

Three Positive Periodic Solutions for a Class of Higher Dimensional Functional Differential Equations with Impulses on Time Scales

... Theorem 2.9 Avery-Peterson 11 . Let γ and θ be nonnegative continuous convex functionals on K, let α be a nonnegative continuous concave functional on K, and let ψ be a nonnegative continuous functional on K satisfying ...

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Existence of three symmetric positive solutions for a second order multi point boundary value problem on time scales

Existence of three symmetric positive solutions for a second order multi point boundary value problem on time scales

... The study of multi-point linear boundary value problems was initiated by II’in and Moi- seev [, ]. Since then, the more general nonlinear multi-point boundary value problems have been widely studied by many authors. ...

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On the Positive Integer Solutions for a Diophantine Equation

On the Positive Integer Solutions for a Diophantine Equation

... Abstract. Let P ≔ P(t) be a polynomial in ZX . In this paper, we consider the polynomial solutions of Diophantine equation D: M − 42S − 8M − 252S − 378 = 0 . We also obtain some formulas and recurrence relations ...

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Positive solutions of a discrete nonlinear third order three point eigenvalue problem with sign changing Green’s function

Positive solutions of a discrete nonlinear third order three point eigenvalue problem with sign changing Green’s function

... It is worth to notice that the Green’s function changes its sign in this paper. Inspired by the work of the above papers, we try to establish some criteria for the existence of positive solutions of (.) ...

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