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Multiplicity results

Existence and Multiplicity Results for Second Order Nonlinear Differential Equations with Multivalued Boundary Conditions

Existence and Multiplicity Results for Second Order Nonlinear Differential Equations with Multivalued Boundary Conditions

... How to cite this paper: Behi, D.A. and Adje, A. (2019) Existence and Multiplicity Results for Second-Order Nonlinear Diffe- rential Equations with Multivalued Boun- dary Conditions. Journal of Applied Ma- ...

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Multiplicity results for the Kirchhoff type equation via critical groups

Multiplicity results for the Kirchhoff type equation via critical groups

... In this paper, the main aim is to give some results on the critical groups estimates at zero for I and its applications to the existence and multiplicity results for equation (1.1) by Morse theory. ...

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Existence and multiplicity results for a degenerate quasilinear elliptic system near resonance

Existence and multiplicity results for a degenerate quasilinear elliptic system near resonance

... We establish existence and multiplicity results for weak solutions of a degenerate quasilinear elliptic system. By using Ekeland’s variational principle, the mountain pass theorem and the saddle point ...

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Multiplicity results for systems of first order dynamic inclusions on time scales

Multiplicity results for systems of first order dynamic inclusions on time scales

... Multiplicity results are obtained for systems of first order dynamic inclusions on time scales with the periodic boundary ...Our results are new even in the particular cases where the nonlinearity is ...

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Multiplicity results for a class of asymmetric weakly coupled systems of second-order ordinary differential equations

Multiplicity results for a class of asymmetric weakly coupled systems of second-order ordinary differential equations

... classical multiplicity results achieved for second-order ODEs by studying mth-order ...of results available in literature as far as nonlin- earities crossing eigenvalues in the PDE’s setting are ...

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Existence and multiplicity results for a class of fractional differential inclusions with boundary conditions

Existence and multiplicity results for a class of fractional differential inclusions with boundary conditions

... and multiplicity results of solutions for some class of fractional differential inclusions with boundary ...and multiplicity results of solutions are given by using the least action principle ...

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Existence and multiplicity results for some generalized Hammerstein equations with a parameter

Existence and multiplicity results for some generalized Hammerstein equations with a parameter

... existence results are obtained with several asymptotic assumptions on f of the sublinear or superlinear type, near 0 or + ∞ ...and multiplicity results applying fixed point index ...main ...

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Homoclinic and heteroclinic solutions for a class of second-order non-autonomous ordinary differential equations: multiplicity results for stepwise potentials

Homoclinic and heteroclinic solutions for a class of second-order non-autonomous ordinary differential equations: multiplicity results for stepwise potentials

... provide multiplicity results for heteroclinic and also homoclinic solutions of equa- tion ...way, multiplicity results for Belmonte-Beitia and Torres’s model can be obtained (see Section  for ...

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Multiplicity results for nonlinear mixed boundary value problem

Multiplicity results for nonlinear mixed boundary value problem

... Multiplicity results for a mixed boundary value problem have been studied by several authors (see, for instance, [–] and references ...tiplicity results for problem (P), when p = , and, in ...

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Multiplicity results on discrete boundary value problems with double resonance via variational methods

Multiplicity results on discrete boundary value problems with double resonance via variational methods

... characterizes problem (BP) as double resonance between two consecutive eigenvalues at infinity. In the case of resonance, one needs to impose various conditions on the nonlinear- ity of f near infinity to ensure the global ...

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MULTIPLICITY RESULTS TO A FOURTH-ORDER BOUNDARY VALUE PROBLEM FOR A STURM-LIOUVILLE TYPE EQUATION

MULTIPLICITY RESULTS TO A FOURTH-ORDER BOUNDARY VALUE PROBLEM FOR A STURM-LIOUVILLE TYPE EQUATION

... Boundary value problems arise in several branches of physics as any physical differential equation will have them. Problems involving the wave equation, such as the determination of normal modes, are often stated as ...

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Multiplicity results for biharmonic equations involving multiple Rellich-type potentials and critical exponents

Multiplicity results for biharmonic equations involving multiple Rellich-type potentials and critical exponents

... In recent years problems related with the inequality (1.1) and the equations with bihar- monic operator have been investigated in several works; we quote [1, 3, 6–10, 13, 18, 19]. On the other hand, the biharmonic ...

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Multiplicity results for impulsive fractional differential equations with p-Laplacian via variational methods

Multiplicity results for impulsive fractional differential equations with p-Laplacian via variational methods

... and multiplicity of solutions to such problems have been extensively studied by many mathematicians; see the monographs of Podlubny [], Kilbas [], Diethelm [], and also [–] and the references ...

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Multiplicity results for a class of fractional differential equations with impulse

Multiplicity results for a class of fractional differential equations with impulse

... ∇ F(t, u) is the gradient of F at u. Since then the variational methods were used to deal with the existence of solutions for fractional differential equations by many authors. In addi- tion, impulsive problems for ...

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Multiplicity Results Using Bifurcation Techniques for a Class of Fourth-Order -Point Boundary Value Problems

Multiplicity Results Using Bifurcation Techniques for a Class of Fourth-Order -Point Boundary Value Problems

... By using bifurcation techniques, this paper investigates the existence of nodal solutions for a class of fourth-order m-point boundary value problems. Our results improve those in the literature. Copyright q 2009 ...

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Multiplicity results for nonlinear Neumann boundary value problems involving p-Laplace type operators

Multiplicity results for nonlinear Neumann boundary value problems involving p-Laplace type operators

... This paper is organized as follows. In Section , by using Zhong’s Ekeland variational principle, we state some critical point theorems for continuously differentiable functions with the Cerami condition. In Section , we ...

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Existence and multiplicity results for some nonlinear problems with singular ϕ-Laplacian via a geometric approach

Existence and multiplicity results for some nonlinear problems with singular ϕ-Laplacian via a geometric approach

... Recently, Bereanu and Mawhin obtained several interesting results on the existence and multiplicity of the solutions for various boundary value problems of equation (.) by using the Leray-Schauder degree, ...

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Multiplicity results for a fractional Kirchhoff equation involving sign-changing weight function

Multiplicity results for a fractional Kirchhoff equation involving sign-changing weight function

... Motivated by the above work, in this paper, we investigate the existence and multiplicity of solutions for a fractional Kirchhoff equation (.) and extend the main results of Wu []. This article is ...

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Multiplicity results for a generalized Sturm Liouville dynamical system on time scales

Multiplicity results for a generalized Sturm Liouville dynamical system on time scales

... The rest of the paper is organized as follows. Section 2 provides some background material for discussing the generalized Sturm-Liouville dynamical system (S). An important lemma and a criterion for the existence of ...

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Existence and Multiplicity Results for Degenerate Elliptic Equations with Dependence on the Gradient

Existence and Multiplicity Results for Degenerate Elliptic Equations with Dependence on the Gradient

... results was obtained by Takeuchi [4] under the restriction m > 2. Later, Dong and Chen [5] improve the result because they established the result for all m > 1. We notice that the Laplacian case was studied ...

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