A continuation approach to superlinear periodic boundary value problems
نویسندگان
چکیده
منابع مشابه
A Topological Approach to Superlinear Indefinite Boundary Value Problems
We obtain the existence of infinitely many solutions with prescribed nodal properties for some boundary value problems associated to the second order scalar equation ẍ+ q(t)g(x) = 0, where g(x) has superlinear growth at infinity and q(t) changes sign.
متن کاملA Granas Type Approach to Some Continuation Theorems and Periodic Boundary Value Problems with Impulses
subject to some impulses at certain points. Our work was inspired by a paper by Capietto–Mawhin–Zanolin [1], where the case of no impulses was treated. The major difference between paper [1] and ours is that instead of topological degree, we use the elementary method based on essential maps. In this context, we also give some new contributions to Granas’ theory of continuation principles. The f...
متن کاملPositive solutions to superlinear semipositone periodic boundary value problems with repulsive weak singular forces
K e y w o r d s P e r i o d i c boundary value problem, Singular, Positive solutions, Fixed-point theorem in cones. 1. I N T R O D U C T I O N In th is paper , we are devoted to s t u d y the exis tence of posi t ive so lu t ions to per iodic b o u n d a r y value problem, x" + a( t )x = f ( t , x), 0 < t < 1, (I . I) x(0) = x(1), x ' (0) = x ' (1) ; here, a( t ) E L i[0, 1] satisfies t h e con...
متن کاملA numerical approach to solve eighth order boundary value problems by Haar wavelet collocation method
In this paper a robust and accurate algorithm based on Haar wavelet collocation method (HWCM) is proposed for solving eighth order boundary value problems. We used the Haar direct method for calculating multiple integrals of Haar functions. To illustrate the efficiency and accuracy of the concerned method, few examples are considered which arise in the mathematical modeling of fluid dynamics an...
متن کاملPeriodic Boundary Value Problems on Time Scales
We extend the results concerning periodic boundary value problems from the continuous calculus to time scales. First we use the Schauder fixed point theorem and the concept of lower and upper solutions to prove the existence of the solutions and then we investigate a monotone iterative method which could generate some of them. Since this method does not work on each time scale, a condition cont...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1990
ISSN: 0022-0396
DOI: 10.1016/0022-0396(90)90102-u