Fractional Differential Equations

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Nonlinear Functional Analysis And Its Applications

computational fluid mechanics and heat transfer is available in our book collection an online access to it is set as public so you can download it instantly. Our digital library hosts in multiple countries, allowing you to get the most less latency time to download any of our books like this one. Kindly say, the computational fluid mechanics and heat transfer is universally compatible with any devices to read.

Computational Fluid Mechanics And Heat Transfer

Linear Differential Operators By Prof. Cornelius Lanczos. Pp. xvi + 564. (London: D. Van Nostrand Co., Ltd.; New York: D. Van Nostrand Company, Inc., 1961.) 80s.

Linear Differential Operators

Positive solutions of nonlinear fractional differential equations with integral boundary value conditions

In this paper, we obtain the existence of infinitely many classical
solutions to the multi-point boundary value system
$$
\cases
-(\phi_{p_i}(u'_{i}))'=\lambda
F_{u_{i}}(x,u_{1},\ldots,u_{n}),\qquad t\in (0,1),\\
\noalign{\medskip} 
\displaystyle
u_{i}(0)=\sum_{j=1}^m a_ju_i(x_j),\quad u_{i}(1)=\sum_{j=1}^m b_ju_i(x_j),
\endcases
\quad i=1,\ldots,n.
$$
Our analysis is based on critical point theory.

/pdf/infinitely-many-solutions-for-systems-of-multi-point-v058q0hj4y.pdf

Infinitely many solutions for systems of multi-point boundary value problems using variational methods

Periodic solutions of first order functional differential equations

Symmetric positive solutions of nonlinear boundary value problems

In this paper, the authors obtain the existence of infinitely many classical solutions to the boundary value system with Sturm–Liouville boundary conditions 

$$\left\{\begin{array}{ll}-(\phi_{p_i}(u_{i}^\prime))^\prime = \lambda F_{u_{i}}(x,u_{1},\ldots,u_{n})h_{i}(u^\prime_i)\quad {\rm in} \, (a,b), \\ \alpha_iu_{i}(a)-\beta_iu^ \prime_{i}(a)=0, \quad \gamma_iu_{i}(b)+\sigma_iu^\prime_{i}(b)=0, \end{array}\quad{i = 1, \ldots , n.} \right.$$

Critical point theory and Ricceri’s variational principle are used in the proofs.

Lingju Kong

Papers

Infinitely many solutions for systems of multi-point boundary value problems using variational methods

Periodic solutions of first order functional differential equations

Symmetric positive solutions of nonlinear boundary value problems

Infinitely Many Solutions for Systems of Sturm–Liouville Boundary Value Problems

Necessary and sufficient conditions for the existence of symmetric positive solutions of singular boundary value problems