Nonlinear systems of second-order ODEs.
Nonlinear systems with mean curvature-like operators
We give an existence result for a periodic boundary value problem involving mean curvature-like operators. Following a recent work of R. Manásevich and J. Mawhin, we use an approach based on the Leray-Schauder degree.
Nonlinear Time-Fractional Differential Equations in Combustion Science
MSC 2010: 34A08 (main), 34G20, 80A25The application of Fractional Calculus in combustion science to model the evolution in time of the radius of an isolated premixed flame ball is highlighted. Literature equations for premixed flame ball radius are rederived by a new method that strongly simplifies previous ones. These equations are nonlinear time-fractional differential equations of order 1/2 with a Gaussian underlying diffusion process. Extending the analysis to self-similar anomalous diffusion...
Nonlinear triple-point problems on time scales.
Nonlinear variational evolution inequalities in Hilbert spaces.
Nonlinearities in a second order ODE.
Nonlocal boundary value problem for impulsive differential equations of fractional order.
Nonlocal boundary value problem for second order abstract elliptic differential equation.
Nonlocal boundary value problems for elliptic-parabolic differential and difference equations.
Nonlocal boundary-value problems for -th order ordinary differential equations by matching solutions.
Nonlocal Cauchy problems and their controllability for semilinear differential inclusions with lower Scorza-Dragoni nonlinearities
In this paper we prove the existence of mild solutions and the controllability for semilinear differential inclusions with nonlocal conditions. Our results extend some recent theorems.
Nonlocal Cauchy problems for first-order multivalued differential equations.
Nonlocal Cauchy problems on semi-infinite intervals for neutral functional-differential and integrodifferential inclusions in Banach spaces
Nonlocal controllability for the semilinear fuzzy integrodifferential equations in -dimensional fuzzy vector space.
Nonlocal four-point boundary value problem for the singularly perturbed semilinear differential equations.
Nonlocal impulsive Cauchy problems for evolution equations.
Nonlocal operational calculi for Dunkl operators.
Nonlocal quasilinear damped differential inclusions.
Nonlocal semilinear second-order differential inclusions in abstract spaces without compactness
We study the existence of a mild solution to the nonlocal initial value problem for semilinear second-order differential inclusions in abstract spaces. The result is obtained by combining the Kakutani fixed point theorem with the approximation solvability method and the weak topology. This combination enables getting the result without any requirements for compactness of the right-hand side or of the cosine family generated by the linear operator.
Nonlocal systems of BVPs with asymptotically superlinear boundary conditions
In this paper we consider a coupled system of second-order boundary value problems with nonlocal, nonlinear boundary conditions, and we examine conditions under which such problems will have at least one positive solution. By imposing only an asymptotic growth condition on the nonlinear boundary functions, we are able to achieve generalizations over existing works and, in particular, we allow for the nonlocal terms to be able to be realized as Lebesgue-Stieltjes integrals possessing signed Borel...