Nonlinear dynamics systems - bifurcations, continuation methods, periodic solutions
Nonlinear eigenvalue problems for fourth order ordinary differential equations
This paper was inspired by the works of Chiappinelli ([3]) and Schmitt and Smith ([7]). We study the problem ℒu = λau + f(·,u,u',u'',u''') with separated boundary conditions on [0,π], where ℒ is a composition of two operators of Sturm-Liouville type. We assume that the nonlinear perturbation f satisfies the inequality |f(x,u,u',u'',u''')| ≤ M|u|. Because of the presence of f the considered equation does not in general have a linearization about 0. For this reason the global bifurcation theorem of...
Nonlinear eigenvalue problems for higher order Lidstone boundary value problems.
Nonlinear eigenvalue problems with semipositone structure.
Nonlinear eigenvalue problems with the parameter near resonance
Nonlinear eigenvalues and bifurcation problems for Pucci's operators
Nonlinear elliptic boundary value problems versus their finite difference approximations: numerically irrelevant solutions.
Nonlinear equations with noninvertible linear part
Nonlinear evolution equations.
Nonlinear Evolution Equations of Soboley-Galpern Type.
Nonlinear evolution equations on Banach space.
Nonlinear evolution inclusions arising from phase change models
The paper is devoted to the analysis of an abstract evolution inclusion with a non-invertible operator, motivated by problems arising in nonlocal phase separation modeling. Existence, uniqueness, and long-time behaviour of the solution to the related Cauchy problem are discussed in detail.
Nonlinear Extensions of Limit-Point Criteria.
Nonlinear fractional differential inclusion with nonlocal fractional integro-differential boundary conditions in Banach spaces
We consider a nonlinear fractional differential inclusion with nonlocal fractional integro-differential boundary conditions in a Banach space. The existence of at least one solution is proved by using the set-valued analog of Mönch fixed point theorem associated with the technique of measures of noncompactness.
Nonlinear fractional differential inclusions with anti-periodic type integral boundary conditions
This article studies a boundary value problem of nonlinear fractional differential inclusions with anti-periodic type integral boundary conditions. Some existence results are obtained via fixed point theorems. The cases of convex-valued and nonconvex-valued right hand sides are considered. Several new results appear as a special case of the results of this paper.
Nonlinear functional Sturm-Liouville equations
Nonlinear Implicit Hadamard’s Fractional Differential Equationswith Delay in Banach Space
In this paper, we establish sufficient conditions for the existence of solutions for nonlinear Hadamard-type implicit fractional differential equations with finite delay. The proof of the main results is based on the measure of noncompactness and the Darbo’s and Mönch’s fixed point theorems. An example is included to show the applicability of our results.
Nonlinear impulsive Volterra integral equations in Banach spaces and applications.
Nonlinear initial-value problems with positive global solutions.
Nonlinear Leray-Schauder alternatives and application to nonlinear problem arising in the theory of growing cell population
Motivated by a mathematical model of an age structured proliferating cell population, we state some new variants of Leray-Schauder type fixed point theorems for (ws)-compact operators. Further, we apply our results to establish some new existence and locality principles for nonlinear boundary value problem arising in the theory of growing cell population in L 1-setting. Besides, a topological structure of the set of solutions is provided.